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Finding the Fourth Proportional to 150,817.71, 225,798.16 and 115,237.47

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Solution

The fourth proportional to 150,817.71, 225,798.16 and 115,237.47 is: 172,528.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,817.71 : 225,798.16 = 115,237.47 : x
  2. Step 2: Convert to fraction form
    150,817.71/225,798.16 = 115,237.47/x
  3. Step 3: Cross multiply
    150,817.71x = 225,798.16 × 115,237.47
  4. Step 4: Simplify right side
    150,817.71x = 26,020,406,983.88
  5. Step 5: Solve for x
    x = 26,020,406,983.88/150,817.71
  6. Step 6: Final answer
    x = 172,528.86

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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.