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Finding the Fourth Proportional to 142,833.78, 197,100.27 and 78,292.71

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Solution

The fourth proportional to 142,833.78, 197,100.27 and 78,292.71 is: 108,038.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,833.78 : 197,100.27 = 78,292.71 : x
  2. Step 2: Convert to fraction form
    142,833.78/197,100.27 = 78,292.71/x
  3. Step 3: Cross multiply
    142,833.78x = 197,100.27 × 78,292.71
  4. Step 4: Simplify right side
    142,833.78x = 15,431,514,280.03
  5. Step 5: Solve for x
    x = 15,431,514,280.03/142,833.78
  6. Step 6: Final answer
    x = 108,038.27

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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.