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Finding the Fourth Proportional to 149,473.62, 224,209.62 and 64,071.90

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Solution

The fourth proportional to 149,473.62, 224,209.62 and 64,071.90 is: 96,107.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,473.62 : 224,209.62 = 64,071.90 : x
  2. Step 2: Convert to fraction form
    149,473.62/224,209.62 = 64,071.90/x
  3. Step 3: Cross multiply
    149,473.62x = 224,209.62 × 64,071.90
  4. Step 4: Simplify right side
    149,473.62x = 14,365,536,351.68
  5. Step 5: Solve for x
    x = 14,365,536,351.68/149,473.62
  6. Step 6: Final answer
    x = 96,107.50

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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.