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Finding the Fourth Proportional to 114,352.81, 157,883.90 and 71,397.70

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Solution

The fourth proportional to 114,352.81, 157,883.90 and 71,397.70 is: 98,576.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,352.81 : 157,883.90 = 71,397.70 : x
  2. Step 2: Convert to fraction form
    114,352.81/157,883.90 = 71,397.70/x
  3. Step 3: Cross multiply
    114,352.81x = 157,883.90 × 71,397.70
  4. Step 4: Simplify right side
    114,352.81x = 11,272,546,575.33
  5. Step 5: Solve for x
    x = 11,272,546,575.33/114,352.81
  6. Step 6: Final answer
    x = 98,576.91

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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.