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Finding the Fourth Proportional to 114,063.66, 170,930.25 and 78,488.46

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Solution

The fourth proportional to 114,063.66, 170,930.25 and 78,488.46 is: 117,618.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,063.66 : 170,930.25 = 78,488.46 : x
  2. Step 2: Convert to fraction form
    114,063.66/170,930.25 = 78,488.46/x
  3. Step 3: Cross multiply
    114,063.66x = 170,930.25 × 78,488.46
  4. Step 4: Simplify right side
    114,063.66x = 13,416,052,089.92
  5. Step 5: Solve for x
    x = 13,416,052,089.92/114,063.66
  6. Step 6: Final answer
    x = 117,618.99

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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.