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Finding the Fourth Proportional to 145,896.57, 218,868.17 and 61,657.53

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Solution

The fourth proportional to 145,896.57, 218,868.17 and 61,657.53 is: 92,496.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,896.57 : 218,868.17 = 61,657.53 : x
  2. Step 2: Convert to fraction form
    145,896.57/218,868.17 = 61,657.53/x
  3. Step 3: Cross multiply
    145,896.57x = 218,868.17 × 61,657.53
  4. Step 4: Simplify right side
    145,896.57x = 13,494,870,449.53
  5. Step 5: Solve for x
    x = 13,494,870,449.53/145,896.57
  6. Step 6: Final answer
    x = 92,496.15

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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.