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Finding the Fourth Proportional to 145,643.76, 218,463.80 and 79,505.24

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Solution

The fourth proportional to 145,643.76, 218,463.80 and 79,505.24 is: 119,256.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,643.76 : 218,463.80 = 79,505.24 : x
  2. Step 2: Convert to fraction form
    145,643.76/218,463.80 = 79,505.24/x
  3. Step 3: Cross multiply
    145,643.76x = 218,463.80 × 79,505.24
  4. Step 4: Simplify right side
    145,643.76x = 17,369,015,360.47
  5. Step 5: Solve for x
    x = 17,369,015,360.47/145,643.76
  6. Step 6: Final answer
    x = 119,256.85

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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.