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Finding the Fourth Proportional to 122,087.16, 183,224.52 and 54,640.08

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Solution

The fourth proportional to 122,087.16, 183,224.52 and 54,640.08 is: 82,002.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,087.16 : 183,224.52 = 54,640.08 : x
  2. Step 2: Convert to fraction form
    122,087.16/183,224.52 = 54,640.08/x
  3. Step 3: Cross multiply
    122,087.16x = 183,224.52 × 54,640.08
  4. Step 4: Simplify right side
    122,087.16x = 10,011,402,430.76
  5. Step 5: Solve for x
    x = 10,011,402,430.76/122,087.16
  6. Step 6: Final answer
    x = 82,002.09

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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.