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Finding the Fourth Proportional to 144,101.48, 198,859.56 and 83,707.48

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Solution

The fourth proportional to 144,101.48, 198,859.56 and 83,707.48 is: 115,516.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,101.48 : 198,859.56 = 83,707.48 : x
  2. Step 2: Convert to fraction form
    144,101.48/198,859.56 = 83,707.48/x
  3. Step 3: Cross multiply
    144,101.48x = 198,859.56 × 83,707.48
  4. Step 4: Simplify right side
    144,101.48x = 16,646,032,641.51
  5. Step 5: Solve for x
    x = 16,646,032,641.51/144,101.48
  6. Step 6: Final answer
    x = 115,516.04

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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.