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Finding the Fourth Proportional to 102,594.46, 154,061.88 and 63,400.69

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Solution

The fourth proportional to 102,594.46, 154,061.88 and 63,400.69 is: 95,206.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,594.46 : 154,061.88 = 63,400.69 : x
  2. Step 2: Convert to fraction form
    102,594.46/154,061.88 = 63,400.69/x
  3. Step 3: Cross multiply
    102,594.46x = 154,061.88 × 63,400.69
  4. Step 4: Simplify right side
    102,594.46x = 9,767,629,494.70
  5. Step 5: Solve for x
    x = 9,767,629,494.70/102,594.46
  6. Step 6: Final answer
    x = 95,206.21

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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.