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Finding the Fourth Proportional to 102,071.90, 140,867.10 and 61,237.56

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Solution

The fourth proportional to 102,071.90, 140,867.10 and 61,237.56 is: 84,512.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,071.90 : 140,867.10 = 61,237.56 : x
  2. Step 2: Convert to fraction form
    102,071.90/140,867.10 = 61,237.56/x
  3. Step 3: Cross multiply
    102,071.90x = 140,867.10 × 61,237.56
  4. Step 4: Simplify right side
    102,071.90x = 8,626,357,488.28
  5. Step 5: Solve for x
    x = 8,626,357,488.28/102,071.90
  6. Step 6: Final answer
    x = 84,512.56

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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.