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Finding the Fourth Proportional to 142,876.38, 197,129.58 and 112,567.80

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Solution

The fourth proportional to 142,876.38, 197,129.58 and 112,567.80 is: 155,312.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,876.38 : 197,129.58 = 112,567.80 : x
  2. Step 2: Convert to fraction form
    142,876.38/197,129.58 = 112,567.80/x
  3. Step 3: Cross multiply
    142,876.38x = 197,129.58 × 112,567.80
  4. Step 4: Simplify right side
    142,876.38x = 22,190,443,135.52
  5. Step 5: Solve for x
    x = 22,190,443,135.52/142,876.38
  6. Step 6: Final answer
    x = 155,312.19

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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.