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Finding the Fourth Proportional to 78,149.02, 107,845.50 and 42,340

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Solution

The fourth proportional to 78,149.02, 107,845.50 and 42,340 is: 58,429.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,149.02 : 107,845.50 = 42,340 : x
  2. Step 2: Convert to fraction form
    78,149.02/107,845.50 = 42,340/x
  3. Step 3: Cross multiply
    78,149.02x = 107,845.50 × 42,340
  4. Step 4: Simplify right side
    78,149.02x = 4,566,178,470
  5. Step 5: Solve for x
    x = 4,566,178,470/78,149.02
  6. Step 6: Final answer
    x = 58,429.12

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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.