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Finding the Fourth Proportional to 150,064.52, 225,097.16 and 61,318.02

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Solution

The fourth proportional to 150,064.52, 225,097.16 and 61,318.02 is: 91,977.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,064.52 : 225,097.16 = 61,318.02 : x
  2. Step 2: Convert to fraction form
    150,064.52/225,097.16 = 61,318.02/x
  3. Step 3: Cross multiply
    150,064.52x = 225,097.16 × 61,318.02
  4. Step 4: Simplify right side
    150,064.52x = 13,802,512,753.65
  5. Step 5: Solve for x
    x = 13,802,512,753.65/150,064.52
  6. Step 6: Final answer
    x = 91,977.19

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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.