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Finding the Fourth Proportional to 97,959.38, 146,816.08 and 52,978.94

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Solution

The fourth proportional to 97,959.38, 146,816.08 and 52,978.94 is: 79,401.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,959.38 : 146,816.08 = 52,978.94 : x
  2. Step 2: Convert to fraction form
    97,959.38/146,816.08 = 52,978.94/x
  3. Step 3: Cross multiply
    97,959.38x = 146,816.08 × 52,978.94
  4. Step 4: Simplify right side
    97,959.38x = 7,778,159,787.97
  5. Step 5: Solve for x
    x = 7,778,159,787.97/97,959.38
  6. Step 6: Final answer
    x = 79,401.89

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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.