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Finding the Fourth Proportional to 157,765.16, 217,592.52 and 101,181.80

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Solution

The fourth proportional to 157,765.16, 217,592.52 and 101,181.80 is: 139,551.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,765.16 : 217,592.52 = 101,181.80 : x
  2. Step 2: Convert to fraction form
    157,765.16/217,592.52 = 101,181.80/x
  3. Step 3: Cross multiply
    157,765.16x = 217,592.52 × 101,181.80
  4. Step 4: Simplify right side
    157,765.16x = 22,016,402,840.14
  5. Step 5: Solve for x
    x = 22,016,402,840.14/157,765.16
  6. Step 6: Final answer
    x = 139,551.74

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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.