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Finding the Fourth Proportional to 97,510.80, 146,266.20 and 84,388.80

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Solution

The fourth proportional to 97,510.80, 146,266.20 and 84,388.80 is: 126,583.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,510.80 : 146,266.20 = 84,388.80 : x
  2. Step 2: Convert to fraction form
    97,510.80/146,266.20 = 84,388.80/x
  3. Step 3: Cross multiply
    97,510.80x = 146,266.20 × 84,388.80
  4. Step 4: Simplify right side
    97,510.80x = 12,343,229,098.56
  5. Step 5: Solve for x
    x = 12,343,229,098.56/97,510.80
  6. Step 6: Final answer
    x = 126,583.20

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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.