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Finding the Fourth Proportional to 107,216, 147,958.20 and 62,512.64

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Solution

The fourth proportional to 107,216, 147,958.20 and 62,512.64 is: 86,267.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,216 : 147,958.20 = 62,512.64 : x
  2. Step 2: Convert to fraction form
    107,216/147,958.20 = 62,512.64/x
  3. Step 3: Cross multiply
    107,216x = 147,958.20 × 62,512.64
  4. Step 4: Simplify right side
    107,216x = 9,249,257,691.65
  5. Step 5: Solve for x
    x = 9,249,257,691.65/107,216
  6. Step 6: Final answer
    x = 86,267.51

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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.