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Finding the Fourth Proportional to 97,170.96, 146,019.96 and 52,830.48

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Solution

The fourth proportional to 97,170.96, 146,019.96 and 52,830.48 is: 79,388.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,170.96 : 146,019.96 = 52,830.48 : x
  2. Step 2: Convert to fraction form
    97,170.96/146,019.96 = 52,830.48/x
  3. Step 3: Cross multiply
    97,170.96x = 146,019.96 × 52,830.48
  4. Step 4: Simplify right side
    97,170.96x = 7,714,304,576.38
  5. Step 5: Solve for x
    x = 7,714,304,576.38/97,170.96
  6. Step 6: Final answer
    x = 79,388.99

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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.