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Finding the Fourth Proportional to 121,182.40, 181,781.70 and 41,219.20

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Solution

The fourth proportional to 121,182.40, 181,781.70 and 41,219.20 is: 61,831.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,182.40 : 181,781.70 = 41,219.20 : x
  2. Step 2: Convert to fraction form
    121,182.40/181,781.70 = 41,219.20/x
  3. Step 3: Cross multiply
    121,182.40x = 181,781.70 × 41,219.20
  4. Step 4: Simplify right side
    121,182.40x = 7,492,896,248.64
  5. Step 5: Solve for x
    x = 7,492,896,248.64/121,182.40
  6. Step 6: Final answer
    x = 61,831.56

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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.