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Finding the Fourth Proportional to 209,191.70, 288,686.79 and 113,698.40

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Solution

The fourth proportional to 209,191.70, 288,686.79 and 113,698.40 is: 156,905.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,191.70 : 288,686.79 = 113,698.40 : x
  2. Step 2: Convert to fraction form
    209,191.70/288,686.79 = 113,698.40/x
  3. Step 3: Cross multiply
    209,191.70x = 288,686.79 × 113,698.40
  4. Step 4: Simplify right side
    209,191.70x = 32,823,226,124.14
  5. Step 5: Solve for x
    x = 32,823,226,124.14/209,191.70
  6. Step 6: Final answer
    x = 156,905.01

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.