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Finding the Fourth Proportional to 97,501.20, 146,251.80 and 58,102.80

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Solution

The fourth proportional to 97,501.20, 146,251.80 and 58,102.80 is: 87,154.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,501.20 : 146,251.80 = 58,102.80 : x
  2. Step 2: Convert to fraction form
    97,501.20/146,251.80 = 58,102.80/x
  3. Step 3: Cross multiply
    97,501.20x = 146,251.80 × 58,102.80
  4. Step 4: Simplify right side
    97,501.20x = 8,497,639,085.04
  5. Step 5: Solve for x
    x = 8,497,639,085.04/97,501.20
  6. Step 6: Final answer
    x = 87,154.20

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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.