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Finding the Fourth Proportional to 310,788.96, 466,186.89 and 86,151.33

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Solution

The fourth proportional to 310,788.96, 466,186.89 and 86,151.33 is: 129,227.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,788.96 : 466,186.89 = 86,151.33 : x
  2. Step 2: Convert to fraction form
    310,788.96/466,186.89 = 86,151.33/x
  3. Step 3: Cross multiply
    310,788.96x = 466,186.89 × 86,151.33
  4. Step 4: Simplify right side
    310,788.96x = 40,162,620,602.06
  5. Step 5: Solve for x
    x = 40,162,620,602.06/310,788.96
  6. Step 6: Final answer
    x = 129,227.95

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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.