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Finding the Fourth Proportional to 150,146.42, 225,282.40 and 65,863.08

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Solution

The fourth proportional to 150,146.42, 225,282.40 and 65,863.08 is: 98,822.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,146.42 : 225,282.40 = 65,863.08 : x
  2. Step 2: Convert to fraction form
    150,146.42/225,282.40 = 65,863.08/x
  3. Step 3: Cross multiply
    150,146.42x = 225,282.40 × 65,863.08
  4. Step 4: Simplify right side
    150,146.42x = 14,837,792,733.79
  5. Step 5: Solve for x
    x = 14,837,792,733.79/150,146.42
  6. Step 6: Final answer
    x = 98,822.15

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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.