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Finding the Fourth Proportional to 97,713.20, 146,569.80 and 58,314.80

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Solution

The fourth proportional to 97,713.20, 146,569.80 and 58,314.80 is: 87,472.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,713.20 : 146,569.80 = 58,314.80 : x
  2. Step 2: Convert to fraction form
    97,713.20/146,569.80 = 58,314.80/x
  3. Step 3: Cross multiply
    97,713.20x = 146,569.80 × 58,314.80
  4. Step 4: Simplify right side
    97,713.20x = 8,547,188,573.04
  5. Step 5: Solve for x
    x = 8,547,188,573.04/97,713.20
  6. Step 6: Final answer
    x = 87,472.20

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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.