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Finding the Fourth Proportional to 135,165.88, 202,761.78 and 60,283

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Solution

The fourth proportional to 135,165.88, 202,761.78 and 60,283 is: 90,430.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,165.88 : 202,761.78 = 60,283 : x
  2. Step 2: Convert to fraction form
    135,165.88/202,761.78 = 60,283/x
  3. Step 3: Cross multiply
    135,165.88x = 202,761.78 × 60,283
  4. Step 4: Simplify right side
    135,165.88x = 12,223,088,383.74
  5. Step 5: Solve for x
    x = 12,223,088,383.74/135,165.88
  6. Step 6: Final answer
    x = 90,430.28

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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.