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Finding the Fourth Proportional to 184,005.26, 276,115 and 77,381.46

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Solution

The fourth proportional to 184,005.26, 276,115 and 77,381.46 is: 116,117.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,005.26 : 276,115 = 77,381.46 : x
  2. Step 2: Convert to fraction form
    184,005.26/276,115 = 77,381.46/x
  3. Step 3: Cross multiply
    184,005.26x = 276,115 × 77,381.46
  4. Step 4: Simplify right side
    184,005.26x = 21,366,181,827.90
  5. Step 5: Solve for x
    x = 21,366,181,827.90/184,005.26
  6. Step 6: Final answer
    x = 116,117.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.