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Finding the Fourth Proportional to 122,887.66, 184,376.54 and 51,828.18

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Solution

The fourth proportional to 122,887.66, 184,376.54 and 51,828.18 is: 77,761.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,887.66 : 184,376.54 = 51,828.18 : x
  2. Step 2: Convert to fraction form
    122,887.66/184,376.54 = 51,828.18/x
  3. Step 3: Cross multiply
    122,887.66x = 184,376.54 × 51,828.18
  4. Step 4: Simplify right side
    122,887.66x = 9,555,900,502.90
  5. Step 5: Solve for x
    x = 9,555,900,502.90/122,887.66
  6. Step 6: Final answer
    x = 77,761.27

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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.