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Finding the Fourth Proportional to 121,310.20, 181,965.30 and 42,416.20

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Solution

The fourth proportional to 121,310.20, 181,965.30 and 42,416.20 is: 63,624.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,310.20 : 181,965.30 = 42,416.20 : x
  2. Step 2: Convert to fraction form
    121,310.20/181,965.30 = 42,416.20/x
  3. Step 3: Cross multiply
    121,310.20x = 181,965.30 × 42,416.20
  4. Step 4: Simplify right side
    121,310.20x = 7,718,276,557.86
  5. Step 5: Solve for x
    x = 7,718,276,557.86/121,310.20
  6. Step 6: Final answer
    x = 63,624.30

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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.