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Finding the Fourth Proportional to 178,054.92, 267,118.02 and 65,735.82

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Solution

The fourth proportional to 178,054.92, 267,118.02 and 65,735.82 is: 98,616.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,054.92 : 267,118.02 = 65,735.82 : x
  2. Step 2: Convert to fraction form
    178,054.92/267,118.02 = 65,735.82/x
  3. Step 3: Cross multiply
    178,054.92x = 267,118.02 × 65,735.82
  4. Step 4: Simplify right side
    178,054.92x = 17,559,222,081.48
  5. Step 5: Solve for x
    x = 17,559,222,081.48/178,054.92
  6. Step 6: Final answer
    x = 98,616.89

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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.