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Finding the Fourth Proportional to 224,113.74, 309,276.96 and 123,511.74

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Solution

The fourth proportional to 224,113.74, 309,276.96 and 123,511.74 is: 170,446.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,113.74 : 309,276.96 = 123,511.74 : x
  2. Step 2: Convert to fraction form
    224,113.74/309,276.96 = 123,511.74/x
  3. Step 3: Cross multiply
    224,113.74x = 309,276.96 × 123,511.74
  4. Step 4: Simplify right side
    224,113.74x = 38,199,335,471.51
  5. Step 5: Solve for x
    x = 38,199,335,471.51/224,113.74
  6. Step 6: Final answer
    x = 170,446.20

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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.