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Finding the Fourth Proportional to 224,743.80, 336,726.90 and 145,817.40

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Solution

The fourth proportional to 224,743.80, 336,726.90 and 145,817.40 is: 218,473.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,743.80 : 336,726.90 = 145,817.40 : x
  2. Step 2: Convert to fraction form
    224,743.80/336,726.90 = 145,817.40/x
  3. Step 3: Cross multiply
    224,743.80x = 336,726.90 × 145,817.40
  4. Step 4: Simplify right side
    224,743.80x = 49,100,641,068.06
  5. Step 5: Solve for x
    x = 49,100,641,068.06/224,743.80
  6. Step 6: Final answer
    x = 218,473.84

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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.