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Finding the Fourth Proportional to 98,034, 146,863.53 and 66,288.24

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Solution

The fourth proportional to 98,034, 146,863.53 and 66,288.24 is: 99,305.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,034 : 146,863.53 = 66,288.24 : x
  2. Step 2: Convert to fraction form
    98,034/146,863.53 = 66,288.24/x
  3. Step 3: Cross multiply
    98,034x = 146,863.53 × 66,288.24
  4. Step 4: Simplify right side
    98,034x = 9,735,324,923.89
  5. Step 5: Solve for x
    x = 9,735,324,923.89/98,034
  6. Step 6: Final answer
    x = 99,305.60

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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.