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Finding the Fourth Proportional to 98,255, 135,613.78 and 62,438.02

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Solution

The fourth proportional to 98,255, 135,613.78 and 62,438.02 is: 86,178.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,255 : 135,613.78 = 62,438.02 : x
  2. Step 2: Convert to fraction form
    98,255/135,613.78 = 62,438.02/x
  3. Step 3: Cross multiply
    98,255x = 135,613.78 × 62,438.02
  4. Step 4: Simplify right side
    98,255x = 8,467,455,907.92
  5. Step 5: Solve for x
    x = 8,467,455,907.92/98,255
  6. Step 6: Final answer
    x = 86,178.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.