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Finding the Fourth Proportional to 293,148.77, 439,723.76 and 71,532.77

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Solution

The fourth proportional to 293,148.77, 439,723.76 and 71,532.77 is: 107,299.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,148.77 : 439,723.76 = 71,532.77 : x
  2. Step 2: Convert to fraction form
    293,148.77/439,723.76 = 71,532.77/x
  3. Step 3: Cross multiply
    293,148.77x = 439,723.76 × 71,532.77
  4. Step 4: Simplify right side
    293,148.77x = 31,454,656,031.33
  5. Step 5: Solve for x
    x = 31,454,656,031.33/293,148.77
  6. Step 6: Final answer
    x = 107,299.30

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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.