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Finding the Fourth Proportional to 102,304.98, 141,142.65 and 102,147.30

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Solution

The fourth proportional to 102,304.98, 141,142.65 and 102,147.30 is: 140,925.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,304.98 : 141,142.65 = 102,147.30 : x
  2. Step 2: Convert to fraction form
    102,304.98/141,142.65 = 102,147.30/x
  3. Step 3: Cross multiply
    102,304.98x = 141,142.65 × 102,147.30
  4. Step 4: Simplify right side
    102,304.98x = 14,417,340,612.35
  5. Step 5: Solve for x
    x = 14,417,340,612.35/102,304.98
  6. Step 6: Final answer
    x = 140,925.11

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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.