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Finding the Fourth Proportional to 224,019.20, 309,146.40 and 123,417.20

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Solution

The fourth proportional to 224,019.20, 309,146.40 and 123,417.20 is: 170,315.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,019.20 : 309,146.40 = 123,417.20 : x
  2. Step 2: Convert to fraction form
    224,019.20/309,146.40 = 123,417.20/x
  3. Step 3: Cross multiply
    224,019.20x = 309,146.40 × 123,417.20
  4. Step 4: Simplify right side
    224,019.20x = 38,153,983,078.08
  5. Step 5: Solve for x
    x = 38,153,983,078.08/224,019.20
  6. Step 6: Final answer
    x = 170,315.68

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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.