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Finding the Fourth Proportional to 122,726.72, 184,323.48 and 76,304

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Solution

The fourth proportional to 122,726.72, 184,323.48 and 76,304 is: 114,601.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,726.72 : 184,323.48 = 76,304 : x
  2. Step 2: Convert to fraction form
    122,726.72/184,323.48 = 76,304/x
  3. Step 3: Cross multiply
    122,726.72x = 184,323.48 × 76,304
  4. Step 4: Simplify right side
    122,726.72x = 14,064,618,817.92
  5. Step 5: Solve for x
    x = 14,064,618,817.92/122,726.72
  6. Step 6: Final answer
    x = 114,601.11

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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.