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Finding the Fourth Proportional to 265,714.72, 398,667.12 and 113,848

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Solution

The fourth proportional to 265,714.72, 398,667.12 and 113,848 is: 170,812.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,714.72 : 398,667.12 = 113,848 : x
  2. Step 2: Convert to fraction form
    265,714.72/398,667.12 = 113,848/x
  3. Step 3: Cross multiply
    265,714.72x = 398,667.12 × 113,848
  4. Step 4: Simplify right side
    265,714.72x = 45,387,454,277.76
  5. Step 5: Solve for x
    x = 45,387,454,277.76/265,714.72
  6. Step 6: Final answer
    x = 170,812.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.