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Finding the Fourth Proportional to 401,632.26, 602,065.51 and 135,255.70

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Solution

The fourth proportional to 401,632.26, 602,065.51 and 135,255.70 is: 202,754.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,632.26 : 602,065.51 = 135,255.70 : x
  2. Step 2: Convert to fraction form
    401,632.26/602,065.51 = 135,255.70/x
  3. Step 3: Cross multiply
    401,632.26x = 602,065.51 × 135,255.70
  4. Step 4: Simplify right side
    401,632.26x = 81,432,792,000.91
  5. Step 5: Solve for x
    x = 81,432,792,000.91/401,632.26
  6. Step 6: Final answer
    x = 202,754.61

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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.