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Finding the Fourth Proportional to 102,257.64, 141,114.42 and 56,934.63

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Solution

The fourth proportional to 102,257.64, 141,114.42 and 56,934.63 is: 78,569.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,257.64 : 141,114.42 = 56,934.63 : x
  2. Step 2: Convert to fraction form
    102,257.64/141,114.42 = 56,934.63/x
  3. Step 3: Cross multiply
    102,257.64x = 141,114.42 × 56,934.63
  4. Step 4: Simplify right side
    102,257.64x = 8,034,297,290.36
  5. Step 5: Solve for x
    x = 8,034,297,290.36/102,257.64
  6. Step 6: Final answer
    x = 78,569.16

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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.