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Finding the Fourth Proportional to 129,210.50, 193,855.05 and 66,074.96

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Solution

The fourth proportional to 129,210.50, 193,855.05 and 66,074.96 is: 99,132.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,210.50 : 193,855.05 = 66,074.96 : x
  2. Step 2: Convert to fraction form
    129,210.50/193,855.05 = 66,074.96/x
  3. Step 3: Cross multiply
    129,210.50x = 193,855.05 × 66,074.96
  4. Step 4: Simplify right side
    129,210.50x = 12,808,963,705.27
  5. Step 5: Solve for x
    x = 12,808,963,705.27/129,210.50
  6. Step 6: Final answer
    x = 99,132.53

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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.