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Finding the Fourth Proportional to 147,806.27, 221,550.69 and 76,657.69

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Solution

The fourth proportional to 147,806.27, 221,550.69 and 76,657.69 is: 114,904.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,806.27 : 221,550.69 = 76,657.69 : x
  2. Step 2: Convert to fraction form
    147,806.27/221,550.69 = 76,657.69/x
  3. Step 3: Cross multiply
    147,806.27x = 221,550.69 × 76,657.69
  4. Step 4: Simplify right side
    147,806.27x = 16,983,564,677.71
  5. Step 5: Solve for x
    x = 16,983,564,677.71/147,806.27
  6. Step 6: Final answer
    x = 114,904.22

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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.