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Finding the Fourth Proportional to 185,118.32, 277,687.84 and 51,988.17

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Solution

The fourth proportional to 185,118.32, 277,687.84 and 51,988.17 is: 77,985.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,118.32 : 277,687.84 = 51,988.17 : x
  2. Step 2: Convert to fraction form
    185,118.32/277,687.84 = 51,988.17/x
  3. Step 3: Cross multiply
    185,118.32x = 277,687.84 × 51,988.17
  4. Step 4: Simplify right side
    185,118.32x = 14,436,482,632.85
  5. Step 5: Solve for x
    x = 14,436,482,632.85/185,118.32
  6. Step 6: Final answer
    x = 77,985.16

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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.