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Finding the Fourth Proportional to 209,243.16, 288,752.16 and 113,752.24

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Solution

The fourth proportional to 209,243.16, 288,752.16 and 113,752.24 is: 156,976.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,243.16 : 288,752.16 = 113,752.24 : x
  2. Step 2: Convert to fraction form
    209,243.16/288,752.16 = 113,752.24/x
  3. Step 3: Cross multiply
    209,243.16x = 288,752.16 × 113,752.24
  4. Step 4: Simplify right side
    209,243.16x = 32,846,205,004.84
  5. Step 5: Solve for x
    x = 32,846,205,004.84/209,243.16
  6. Step 6: Final answer
    x = 156,976.24

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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.