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Finding the Fourth Proportional to 102,670.88, 141,684.28 and 57,349.68

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Solution

The fourth proportional to 102,670.88, 141,684.28 and 57,349.68 is: 79,141.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,670.88 : 141,684.28 = 57,349.68 : x
  2. Step 2: Convert to fraction form
    102,670.88/141,684.28 = 57,349.68/x
  3. Step 3: Cross multiply
    102,670.88x = 141,684.28 × 57,349.68
  4. Step 4: Simplify right side
    102,670.88x = 8,125,548,119.03
  5. Step 5: Solve for x
    x = 8,125,548,119.03/102,670.88
  6. Step 6: Final answer
    x = 79,141.70

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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.