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Finding the Fourth Proportional to 264,099.80, 396,063.30 and 97,866.20

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Solution

The fourth proportional to 264,099.80, 396,063.30 and 97,866.20 is: 146,767.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,099.80 : 396,063.30 = 97,866.20 : x
  2. Step 2: Convert to fraction form
    264,099.80/396,063.30 = 97,866.20/x
  3. Step 3: Cross multiply
    264,099.80x = 396,063.30 × 97,866.20
  4. Step 4: Simplify right side
    264,099.80x = 38,761,210,130.46
  5. Step 5: Solve for x
    x = 38,761,210,130.46/264,099.80
  6. Step 6: Final answer
    x = 146,767.28

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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.