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Finding the Fourth Proportional to 145,429.71, 218,144.61 and 45,597.66

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Solution

The fourth proportional to 145,429.71, 218,144.61 and 45,597.66 is: 68,396.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,429.71 : 218,144.61 = 45,597.66 : x
  2. Step 2: Convert to fraction form
    145,429.71/218,144.61 = 45,597.66/x
  3. Step 3: Cross multiply
    145,429.71x = 218,144.61 × 45,597.66
  4. Step 4: Simplify right side
    145,429.71x = 9,946,883,757.61
  5. Step 5: Solve for x
    x = 9,946,883,757.61/145,429.71
  6. Step 6: Final answer
    x = 68,396.50

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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.