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Finding the Fourth Proportional to 224,426, 309,712.20 and 123,821.84

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Solution

The fourth proportional to 224,426, 309,712.20 and 123,821.84 is: 170,876.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,426 : 309,712.20 = 123,821.84 : x
  2. Step 2: Convert to fraction form
    224,426/309,712.20 = 123,821.84/x
  3. Step 3: Cross multiply
    224,426x = 309,712.20 × 123,821.84
  4. Step 4: Simplify right side
    224,426x = 38,349,134,474.45
  5. Step 5: Solve for x
    x = 38,349,134,474.45/224,426
  6. Step 6: Final answer
    x = 170,876.52

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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.