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Finding the Fourth Proportional to 209,235.90, 288,742.14 and 113,745

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Solution

The fourth proportional to 209,235.90, 288,742.14 and 113,745 is: 156,966.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,235.90 : 288,742.14 = 113,745 : x
  2. Step 2: Convert to fraction form
    209,235.90/288,742.14 = 113,745/x
  3. Step 3: Cross multiply
    209,235.90x = 288,742.14 × 113,745
  4. Step 4: Simplify right side
    209,235.90x = 32,842,974,714.30
  5. Step 5: Solve for x
    x = 32,842,974,714.30/209,235.90
  6. Step 6: Final answer
    x = 156,966.25

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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.