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Finding the Fourth Proportional to 152,032.34, 209,810.54 and 100,957.00

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Solution

The fourth proportional to 152,032.34, 209,810.54 and 100,957.00 is: 139,324.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,032.34 : 209,810.54 = 100,957.00 : x
  2. Step 2: Convert to fraction form
    152,032.34/209,810.54 = 100,957.00/x
  3. Step 3: Cross multiply
    152,032.34x = 209,810.54 × 100,957.00
  4. Step 4: Simplify right side
    152,032.34x = 21,181,841,657.47
  5. Step 5: Solve for x
    x = 21,181,841,657.47/152,032.34
  6. Step 6: Final answer
    x = 139,324.58

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.