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Finding the Fourth Proportional to 101,462.96, 152,230.52 and 45,298

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Solution

The fourth proportional to 101,462.96, 152,230.52 and 45,298 is: 67,963.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,462.96 : 152,230.52 = 45,298 : x
  2. Step 2: Convert to fraction form
    101,462.96/152,230.52 = 45,298/x
  3. Step 3: Cross multiply
    101,462.96x = 152,230.52 × 45,298
  4. Step 4: Simplify right side
    101,462.96x = 6,895,738,094.96
  5. Step 5: Solve for x
    x = 6,895,738,094.96/101,462.96
  6. Step 6: Final answer
    x = 67,963.11

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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.