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Finding the Fourth Proportional to 216,842.10, 325,263.15 and 76,614.90

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Solution

The fourth proportional to 216,842.10, 325,263.15 and 76,614.90 is: 114,922.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,842.10 : 325,263.15 = 76,614.90 : x
  2. Step 2: Convert to fraction form
    216,842.10/325,263.15 = 76,614.90/x
  3. Step 3: Cross multiply
    216,842.10x = 325,263.15 × 76,614.90
  4. Step 4: Simplify right side
    216,842.10x = 24,920,003,710.94
  5. Step 5: Solve for x
    x = 24,920,003,710.94/216,842.10
  6. Step 6: Final answer
    x = 114,922.35

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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.