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Finding the Fourth Proportional to 313,122.42, 469,641.60 and 88,503.18

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Solution

The fourth proportional to 313,122.42, 469,641.60 and 88,503.18 is: 132,742.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,122.42 : 469,641.60 = 88,503.18 : x
  2. Step 2: Convert to fraction form
    313,122.42/469,641.60 = 88,503.18/x
  3. Step 3: Cross multiply
    313,122.42x = 469,641.60 × 88,503.18
  4. Step 4: Simplify right side
    313,122.42x = 41,564,775,060.29
  5. Step 5: Solve for x
    x = 41,564,775,060.29/313,122.42
  6. Step 6: Final answer
    x = 132,742.89

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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.