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Finding the Fourth Proportional to 107,200.80, 160,808.94 and 28,314

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Solution

The fourth proportional to 107,200.80, 160,808.94 and 28,314 is: 42,473.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,200.80 : 160,808.94 = 28,314 : x
  2. Step 2: Convert to fraction form
    107,200.80/160,808.94 = 28,314/x
  3. Step 3: Cross multiply
    107,200.80x = 160,808.94 × 28,314
  4. Step 4: Simplify right side
    107,200.80x = 4,553,144,327.16
  5. Step 5: Solve for x
    x = 4,553,144,327.16/107,200.80
  6. Step 6: Final answer
    x = 42,473.04

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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.