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Finding the Fourth Proportional to 293,431.92, 440,147.92 and 83,071.68

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Solution

The fourth proportional to 293,431.92, 440,147.92 and 83,071.68 is: 124,607.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,431.92 : 440,147.92 = 83,071.68 : x
  2. Step 2: Convert to fraction form
    293,431.92/440,147.92 = 83,071.68/x
  3. Step 3: Cross multiply
    293,431.92x = 440,147.92 × 83,071.68
  4. Step 4: Simplify right side
    293,431.92x = 36,563,827,162.91
  5. Step 5: Solve for x
    x = 36,563,827,162.91/293,431.92
  6. Step 6: Final answer
    x = 124,607.53

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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.