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Finding the Fourth Proportional to 149,952.60, 224,706.96 and 65,634.84

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Solution

The fourth proportional to 149,952.60, 224,706.96 and 65,634.84 is: 98,355.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,952.60 : 224,706.96 = 65,634.84 : x
  2. Step 2: Convert to fraction form
    149,952.60/224,706.96 = 65,634.84/x
  3. Step 3: Cross multiply
    149,952.60x = 224,706.96 × 65,634.84
  4. Step 4: Simplify right side
    149,952.60x = 14,748,605,366.49
  5. Step 5: Solve for x
    x = 14,748,605,366.49/149,952.60
  6. Step 6: Final answer
    x = 98,355.12

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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.