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Finding the Fourth Proportional to 98,778.81, 136,315.10 and 53,456.78

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Solution

The fourth proportional to 98,778.81, 136,315.10 and 53,456.78 is: 73,770.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,778.81 : 136,315.10 = 53,456.78 : x
  2. Step 2: Convert to fraction form
    98,778.81/136,315.10 = 53,456.78/x
  3. Step 3: Cross multiply
    98,778.81x = 136,315.10 × 53,456.78
  4. Step 4: Simplify right side
    98,778.81x = 7,286,966,311.38
  5. Step 5: Solve for x
    x = 7,286,966,311.38/98,778.81
  6. Step 6: Final answer
    x = 73,770.54

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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.