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Finding the Fourth Proportional to 102,356.34, 141,248.02 and 57,031.98

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Solution

The fourth proportional to 102,356.34, 141,248.02 and 57,031.98 is: 78,702.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,356.34 : 141,248.02 = 57,031.98 : x
  2. Step 2: Convert to fraction form
    102,356.34/141,248.02 = 57,031.98/x
  3. Step 3: Cross multiply
    102,356.34x = 141,248.02 × 57,031.98
  4. Step 4: Simplify right side
    102,356.34x = 8,055,654,251.68
  5. Step 5: Solve for x
    x = 8,055,654,251.68/102,356.34
  6. Step 6: Final answer
    x = 78,702.05

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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.