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Finding the Fourth Proportional to 209,017.68, 288,446.48 and 113,526.24

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Solution

The fourth proportional to 209,017.68, 288,446.48 and 113,526.24 is: 156,667.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,017.68 : 288,446.48 = 113,526.24 : x
  2. Step 2: Convert to fraction form
    209,017.68/288,446.48 = 113,526.24/x
  3. Step 3: Cross multiply
    209,017.68x = 288,446.48 × 113,526.24
  4. Step 4: Simplify right side
    209,017.68x = 32,746,244,315.64
  5. Step 5: Solve for x
    x = 32,746,244,315.64/209,017.68
  6. Step 6: Final answer
    x = 156,667.34

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