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Finding the Fourth Proportional to 121,265.28, 181,863.36 and 47,376

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Solution

The fourth proportional to 121,265.28, 181,863.36 and 47,376 is: 71,050.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,265.28 : 181,863.36 = 47,376 : x
  2. Step 2: Convert to fraction form
    121,265.28/181,863.36 = 47,376/x
  3. Step 3: Cross multiply
    121,265.28x = 181,863.36 × 47,376
  4. Step 4: Simplify right side
    121,265.28x = 8,615,958,543.36
  5. Step 5: Solve for x
    x = 8,615,958,543.36/121,265.28
  6. Step 6: Final answer
    x = 71,050.50

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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.