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Finding the Fourth Proportional to 142,957, 197,280.82 and 83,352.52

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Solution

The fourth proportional to 142,957, 197,280.82 and 83,352.52 is: 115,026.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,957 : 197,280.82 = 83,352.52 : x
  2. Step 2: Convert to fraction form
    142,957/197,280.82 = 83,352.52/x
  3. Step 3: Cross multiply
    142,957x = 197,280.82 × 83,352.52
  4. Step 4: Simplify right side
    142,957x = 16,443,853,494.67
  5. Step 5: Solve for x
    x = 16,443,853,494.67/142,957
  6. Step 6: Final answer
    x = 115,026.57

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.