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Finding the Fourth Proportional to 124,034.16, 171,165.96 and 67,446

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Solution

The fourth proportional to 124,034.16, 171,165.96 and 67,446 is: 93,074.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,034.16 : 171,165.96 = 67,446 : x
  2. Step 2: Convert to fraction form
    124,034.16/171,165.96 = 67,446/x
  3. Step 3: Cross multiply
    124,034.16x = 171,165.96 × 67,446
  4. Step 4: Simplify right side
    124,034.16x = 11,544,459,338.16
  5. Step 5: Solve for x
    x = 11,544,459,338.16/124,034.16
  6. Step 6: Final answer
    x = 93,074.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.