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Finding the Fourth Proportional to 157,464.60, 236,269.80 and 82,669.20

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Solution

The fourth proportional to 157,464.60, 236,269.80 and 82,669.20 is: 124,042.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,464.60 : 236,269.80 = 82,669.20 : x
  2. Step 2: Convert to fraction form
    157,464.60/236,269.80 = 82,669.20/x
  3. Step 3: Cross multiply
    157,464.60x = 236,269.80 × 82,669.20
  4. Step 4: Simplify right side
    157,464.60x = 19,532,235,350.16
  5. Step 5: Solve for x
    x = 19,532,235,350.16/157,464.60
  6. Step 6: Final answer
    x = 124,042.07

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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.