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Finding the Fourth Proportional to 224,549.72, 309,856.56 and 123,941.24

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Solution

The fourth proportional to 224,549.72, 309,856.56 and 123,941.24 is: 171,026.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,549.72 : 309,856.56 = 123,941.24 : x
  2. Step 2: Convert to fraction form
    224,549.72/309,856.56 = 123,941.24/x
  3. Step 3: Cross multiply
    224,549.72x = 309,856.56 × 123,941.24
  4. Step 4: Simplify right side
    224,549.72x = 38,404,006,268.53
  5. Step 5: Solve for x
    x = 38,404,006,268.53/224,549.72
  6. Step 6: Final answer
    x = 171,026.74

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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.