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Finding the Fourth Proportional to 277,962.12, 416,939.04 and 88,434

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Solution

The fourth proportional to 277,962.12, 416,939.04 and 88,434 is: 132,649.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,962.12 : 416,939.04 = 88,434 : x
  2. Step 2: Convert to fraction form
    277,962.12/416,939.04 = 88,434/x
  3. Step 3: Cross multiply
    277,962.12x = 416,939.04 × 88,434
  4. Step 4: Simplify right side
    277,962.12x = 36,871,587,063.36
  5. Step 5: Solve for x
    x = 36,871,587,063.36/277,962.12
  6. Step 6: Final answer
    x = 132,649.68

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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.