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Finding the Fourth Proportional to 209,294.30, 288,823.02 and 113,800.16

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Solution

The fourth proportional to 209,294.30, 288,823.02 and 113,800.16 is: 157,042.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,294.30 : 288,823.02 = 113,800.16 : x
  2. Step 2: Convert to fraction form
    209,294.30/288,823.02 = 113,800.16/x
  3. Step 3: Cross multiply
    209,294.30x = 288,823.02 × 113,800.16
  4. Step 4: Simplify right side
    209,294.30x = 32,868,105,887.68
  5. Step 5: Solve for x
    x = 32,868,105,887.68/209,294.30
  6. Step 6: Final answer
    x = 157,042.53

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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.