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Finding the Fourth Proportional to 102,500.88, 141,453.72 and 57,178.53

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Solution

The fourth proportional to 102,500.88, 141,453.72 and 57,178.53 is: 78,907.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,500.88 : 141,453.72 = 57,178.53 : x
  2. Step 2: Convert to fraction form
    102,500.88/141,453.72 = 57,178.53/x
  3. Step 3: Cross multiply
    102,500.88x = 141,453.72 × 57,178.53
  4. Step 4: Simplify right side
    102,500.88x = 8,088,115,772.63
  5. Step 5: Solve for x
    x = 8,088,115,772.63/102,500.88
  6. Step 6: Final answer
    x = 78,907.77

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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.