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Finding the Fourth Proportional to 224,023, 309,151.74 and 123,423.16

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Solution

The fourth proportional to 224,023, 309,151.74 and 123,423.16 is: 170,323.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,023 : 309,151.74 = 123,423.16 : x
  2. Step 2: Convert to fraction form
    224,023/309,151.74 = 123,423.16/x
  3. Step 3: Cross multiply
    224,023x = 309,151.74 × 123,423.16
  4. Step 4: Simplify right side
    224,023x = 38,156,484,670.30
  5. Step 5: Solve for x
    x = 38,156,484,670.30/224,023
  6. Step 6: Final answer
    x = 170,323.96

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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.