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Finding the Fourth Proportional to 121,148.40, 181,657.80 and 42,265.20

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Solution

The fourth proportional to 121,148.40, 181,657.80 and 42,265.20 is: 63,375.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,148.40 : 181,657.80 = 42,265.20 : x
  2. Step 2: Convert to fraction form
    121,148.40/181,657.80 = 42,265.20/x
  3. Step 3: Cross multiply
    121,148.40x = 181,657.80 × 42,265.20
  4. Step 4: Simplify right side
    121,148.40x = 7,677,803,248.56
  5. Step 5: Solve for x
    x = 7,677,803,248.56/121,148.40
  6. Step 6: Final answer
    x = 63,375.19

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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.