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Finding the Fourth Proportional to 185,978.16, 256,215.96 and 129,291.12

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Solution

The fourth proportional to 185,978.16, 256,215.96 and 129,291.12 is: 178,120.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,978.16 : 256,215.96 = 129,291.12 : x
  2. Step 2: Convert to fraction form
    185,978.16/256,215.96 = 129,291.12/x
  3. Step 3: Cross multiply
    185,978.16x = 256,215.96 × 129,291.12
  4. Step 4: Simplify right side
    185,978.16x = 33,126,448,430.28
  5. Step 5: Solve for x
    x = 33,126,448,430.28/185,978.16
  6. Step 6: Final answer
    x = 178,120.10

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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.