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Finding the Fourth Proportional to 102,325.68, 141,214.32 and 57,006.72

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Solution

The fourth proportional to 102,325.68, 141,214.32 and 57,006.72 is: 78,671.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,325.68 : 141,214.32 = 57,006.72 : x
  2. Step 2: Convert to fraction form
    102,325.68/141,214.32 = 57,006.72/x
  3. Step 3: Cross multiply
    102,325.68x = 141,214.32 × 57,006.72
  4. Step 4: Simplify right side
    102,325.68x = 8,050,165,200.23
  5. Step 5: Solve for x
    x = 8,050,165,200.23/102,325.68
  6. Step 6: Final answer
    x = 78,671.99

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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.