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Finding the Fourth Proportional to 209,214.90, 288,713.16 and 113,724

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Solution

The fourth proportional to 209,214.90, 288,713.16 and 113,724 is: 156,937.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,214.90 : 288,713.16 = 113,724 : x
  2. Step 2: Convert to fraction form
    209,214.90/288,713.16 = 113,724/x
  3. Step 3: Cross multiply
    209,214.90x = 288,713.16 × 113,724
  4. Step 4: Simplify right side
    209,214.90x = 32,833,615,407.84
  5. Step 5: Solve for x
    x = 32,833,615,407.84/209,214.90
  6. Step 6: Final answer
    x = 156,937.27

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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.