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Finding the Fourth Proportional to 224,644, 310,008.72 and 145,156

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Solution

The fourth proportional to 224,644, 310,008.72 and 145,156 is: 200,315.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,644 : 310,008.72 = 145,156 : x
  2. Step 2: Convert to fraction form
    224,644/310,008.72 = 145,156/x
  3. Step 3: Cross multiply
    224,644x = 310,008.72 × 145,156
  4. Step 4: Simplify right side
    224,644x = 44,999,625,760.32
  5. Step 5: Solve for x
    x = 44,999,625,760.32/224,644
  6. Step 6: Final answer
    x = 200,315.28

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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.