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Finding the Fourth Proportional to 102,420, 141,340.19 and 57,100.83

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Solution

The fourth proportional to 102,420, 141,340.19 and 57,100.83 is: 78,799.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,420 : 141,340.19 = 57,100.83 : x
  2. Step 2: Convert to fraction form
    102,420/141,340.19 = 57,100.83/x
  3. Step 3: Cross multiply
    102,420x = 141,340.19 × 57,100.83
  4. Step 4: Simplify right side
    102,420x = 8,070,641,875.85
  5. Step 5: Solve for x
    x = 8,070,641,875.85/102,420
  6. Step 6: Final answer
    x = 78,799.47

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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.