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Finding the Fourth Proportional to 92,184.38, 127,223.98 and 56,398.20

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Solution

The fourth proportional to 92,184.38, 127,223.98 and 56,398.20 is: 77,835.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,184.38 : 127,223.98 = 56,398.20 : x
  2. Step 2: Convert to fraction form
    92,184.38/127,223.98 = 56,398.20/x
  3. Step 3: Cross multiply
    92,184.38x = 127,223.98 × 56,398.20
  4. Step 4: Simplify right side
    92,184.38x = 7,175,203,468.84
  5. Step 5: Solve for x
    x = 7,175,203,468.84/92,184.38
  6. Step 6: Final answer
    x = 77,835.35

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.