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Finding the Fourth Proportional to 121,411.30, 182,116.95 and 102,165.70

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Solution

The fourth proportional to 121,411.30, 182,116.95 and 102,165.70 is: 153,248.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,411.30 : 182,116.95 = 102,165.70 : x
  2. Step 2: Convert to fraction form
    121,411.30/182,116.95 = 102,165.70/x
  3. Step 3: Cross multiply
    121,411.30x = 182,116.95 × 102,165.70
  4. Step 4: Simplify right side
    121,411.30x = 18,606,105,678.62
  5. Step 5: Solve for x
    x = 18,606,105,678.62/121,411.30
  6. Step 6: Final answer
    x = 153,248.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.