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Finding the Fourth Proportional to 185,763.74, 256,358.12 and 104,098.10

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Solution

The fourth proportional to 185,763.74, 256,358.12 and 104,098.10 is: 143,657.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,763.74 : 256,358.12 = 104,098.10 : x
  2. Step 2: Convert to fraction form
    185,763.74/256,358.12 = 104,098.10/x
  3. Step 3: Cross multiply
    185,763.74x = 256,358.12 × 104,098.10
  4. Step 4: Simplify right side
    185,763.74x = 26,686,391,409.29
  5. Step 5: Solve for x
    x = 26,686,391,409.29/185,763.74
  6. Step 6: Final answer
    x = 143,657.70

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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.