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Finding the Fourth Proportional to 151,506.54, 209,078.96 and 83,524.66

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Solution

The fourth proportional to 151,506.54, 209,078.96 and 83,524.66 is: 115,263.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,506.54 : 209,078.96 = 83,524.66 : x
  2. Step 2: Convert to fraction form
    151,506.54/209,078.96 = 83,524.66/x
  3. Step 3: Cross multiply
    151,506.54x = 209,078.96 × 83,524.66
  4. Step 4: Simplify right side
    151,506.54x = 17,463,248,106.83
  5. Step 5: Solve for x
    x = 17,463,248,106.83/151,506.54
  6. Step 6: Final answer
    x = 115,263.99

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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.