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Finding the Fourth Proportional to 264,088.80, 396,046.80 and 97,855.20

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Solution

The fourth proportional to 264,088.80, 396,046.80 and 97,855.20 is: 146,750.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,088.80 : 396,046.80 = 97,855.20 : x
  2. Step 2: Convert to fraction form
    264,088.80/396,046.80 = 97,855.20/x
  3. Step 3: Cross multiply
    264,088.80x = 396,046.80 × 97,855.20
  4. Step 4: Simplify right side
    264,088.80x = 38,755,238,823.36
  5. Step 5: Solve for x
    x = 38,755,238,823.36/264,088.80
  6. Step 6: Final answer
    x = 146,750.79

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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.