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Finding the Fourth Proportional to 102,434.59, 141,349.43 and 57,108.34

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Solution

The fourth proportional to 102,434.59, 141,349.43 and 57,108.34 is: 78,803.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,434.59 : 141,349.43 = 57,108.34 : x
  2. Step 2: Convert to fraction form
    102,434.59/141,349.43 = 57,108.34/x
  3. Step 3: Cross multiply
    102,434.59x = 141,349.43 × 57,108.34
  4. Step 4: Simplify right side
    102,434.59x = 8,072,230,314.96
  5. Step 5: Solve for x
    x = 8,072,230,314.96/102,434.59
  6. Step 6: Final answer
    x = 78,803.76

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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.