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Finding the Fourth Proportional to 185,801.62, 256,406.97 and 100,920.10

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Solution

The fourth proportional to 185,801.62, 256,406.97 and 100,920.10 is: 139,270.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,801.62 : 256,406.97 = 100,920.10 : x
  2. Step 2: Convert to fraction form
    185,801.62/256,406.97 = 100,920.10/x
  3. Step 3: Cross multiply
    185,801.62x = 256,406.97 × 100,920.10
  4. Step 4: Simplify right side
    185,801.62x = 25,876,617,053.10
  5. Step 5: Solve for x
    x = 25,876,617,053.10/185,801.62
  6. Step 6: Final answer
    x = 139,270.14

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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.