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Finding the Fourth Proportional to 97,524.84, 146,083.14 and 62,285.16

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Solution

The fourth proportional to 97,524.84, 146,083.14 and 62,285.16 is: 93,297.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,524.84 : 146,083.14 = 62,285.16 : x
  2. Step 2: Convert to fraction form
    97,524.84/146,083.14 = 62,285.16/x
  3. Step 3: Cross multiply
    97,524.84x = 146,083.14 × 62,285.16
  4. Step 4: Simplify right side
    97,524.84x = 9,098,811,748.20
  5. Step 5: Solve for x
    x = 9,098,811,748.20/97,524.84
  6. Step 6: Final answer
    x = 93,297.38

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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.