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Finding the Fourth Proportional to 96,808.10, 145,212.15 and 75,812.90

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Solution

The fourth proportional to 96,808.10, 145,212.15 and 75,812.90 is: 113,719.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,808.10 : 145,212.15 = 75,812.90 : x
  2. Step 2: Convert to fraction form
    96,808.10/145,212.15 = 75,812.90/x
  3. Step 3: Cross multiply
    96,808.10x = 145,212.15 × 75,812.90
  4. Step 4: Simplify right side
    96,808.10x = 11,008,954,206.74
  5. Step 5: Solve for x
    x = 11,008,954,206.74/96,808.10
  6. Step 6: Final answer
    x = 113,719.35

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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.