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Finding the Fourth Proportional to 157,539.96, 217,330.11 and 106,570.53

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Solution

The fourth proportional to 157,539.96, 217,330.11 and 106,570.53 is: 147,016.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,539.96 : 217,330.11 = 106,570.53 : x
  2. Step 2: Convert to fraction form
    157,539.96/217,330.11 = 106,570.53/x
  3. Step 3: Cross multiply
    157,539.96x = 217,330.11 × 106,570.53
  4. Step 4: Simplify right side
    157,539.96x = 23,160,985,007.66
  5. Step 5: Solve for x
    x = 23,160,985,007.66/157,539.96
  6. Step 6: Final answer
    x = 147,016.57

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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.