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Finding the Fourth Proportional to 209,977.80, 314,966.70 and 156,833.70

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Solution

The fourth proportional to 209,977.80, 314,966.70 and 156,833.70 is: 235,250.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,977.80 : 314,966.70 = 156,833.70 : x
  2. Step 2: Convert to fraction form
    209,977.80/314,966.70 = 156,833.70/x
  3. Step 3: Cross multiply
    209,977.80x = 314,966.70 × 156,833.70
  4. Step 4: Simplify right side
    209,977.80x = 49,397,392,937.79
  5. Step 5: Solve for x
    x = 49,397,392,937.79/209,977.80
  6. Step 6: Final answer
    x = 235,250.55

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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.