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Finding the Fourth Proportional to 268,133.24, 402,201.08 and 90,641.20

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Solution

The fourth proportional to 268,133.24, 402,201.08 and 90,641.20 is: 135,962.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,133.24 : 402,201.08 = 90,641.20 : x
  2. Step 2: Convert to fraction form
    268,133.24/402,201.08 = 90,641.20/x
  3. Step 3: Cross multiply
    268,133.24x = 402,201.08 × 90,641.20
  4. Step 4: Simplify right side
    268,133.24x = 36,455,988,532.50
  5. Step 5: Solve for x
    x = 36,455,988,532.50/268,133.24
  6. Step 6: Final answer
    x = 135,962.21

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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.