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Finding the Fourth Proportional to 150,096.96, 207,154.08 and 86,433.12

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Solution

The fourth proportional to 150,096.96, 207,154.08 and 86,433.12 is: 119,289.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,096.96 : 207,154.08 = 86,433.12 : x
  2. Step 2: Convert to fraction form
    150,096.96/207,154.08 = 86,433.12/x
  3. Step 3: Cross multiply
    150,096.96x = 207,154.08 × 86,433.12
  4. Step 4: Simplify right side
    150,096.96x = 17,904,973,455.13
  5. Step 5: Solve for x
    x = 17,904,973,455.13/150,096.96
  6. Step 6: Final answer
    x = 119,289.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.