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Finding the Fourth Proportional to 145,811.88, 218,781.30 and 51,110.16

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Solution

The fourth proportional to 145,811.88, 218,781.30 and 51,110.16 is: 76,687.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,811.88 : 218,781.30 = 51,110.16 : x
  2. Step 2: Convert to fraction form
    145,811.88/218,781.30 = 51,110.16/x
  3. Step 3: Cross multiply
    145,811.88x = 218,781.30 × 51,110.16
  4. Step 4: Simplify right side
    145,811.88x = 11,181,947,248.01
  5. Step 5: Solve for x
    x = 11,181,947,248.01/145,811.88
  6. Step 6: Final answer
    x = 76,687.49

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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.