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Finding the Fourth Proportional to 224,678.80, 337,116.21 and 119,374.48

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Solution

The fourth proportional to 224,678.80, 337,116.21 and 119,374.48 is: 179,113.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,678.80 : 337,116.21 = 119,374.48 : x
  2. Step 2: Convert to fraction form
    224,678.80/337,116.21 = 119,374.48/x
  3. Step 3: Cross multiply
    224,678.80x = 337,116.21 × 119,374.48
  4. Step 4: Simplify right side
    224,678.80x = 40,243,072,268.32
  5. Step 5: Solve for x
    x = 40,243,072,268.32/224,678.80
  6. Step 6: Final answer
    x = 179,113.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.