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Finding the Fourth Proportional to 159,462.61, 239,202.65 and 64,678.72

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Solution

The fourth proportional to 159,462.61, 239,202.65 and 64,678.72 is: 97,021.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,462.61 : 239,202.65 = 64,678.72 : x
  2. Step 2: Convert to fraction form
    159,462.61/239,202.65 = 64,678.72/x
  3. Step 3: Cross multiply
    159,462.61x = 239,202.65 × 64,678.72
  4. Step 4: Simplify right side
    159,462.61x = 15,471,320,899.21
  5. Step 5: Solve for x
    x = 15,471,320,899.21/159,462.61
  6. Step 6: Final answer
    x = 97,021.62

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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.