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Finding the Fourth Proportional to 201,462.70, 301,829.55 and 159,618.10

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Solution

The fourth proportional to 201,462.70, 301,829.55 and 159,618.10 is: 239,138.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,462.70 : 301,829.55 = 159,618.10 : x
  2. Step 2: Convert to fraction form
    201,462.70/301,829.55 = 159,618.10/x
  3. Step 3: Cross multiply
    201,462.70x = 301,829.55 × 159,618.10
  4. Step 4: Simplify right side
    201,462.70x = 48,177,459,294.86
  5. Step 5: Solve for x
    x = 48,177,459,294.86/201,462.70
  6. Step 6: Final answer
    x = 239,138.36

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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.