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Finding the Fourth Proportional to 268,129.96, 402,246.78 and 101,905

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Solution

The fourth proportional to 268,129.96, 402,246.78 and 101,905 is: 152,877.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,129.96 : 402,246.78 = 101,905 : x
  2. Step 2: Convert to fraction form
    268,129.96/402,246.78 = 101,905/x
  3. Step 3: Cross multiply
    268,129.96x = 402,246.78 × 101,905
  4. Step 4: Simplify right side
    268,129.96x = 40,990,958,115.90
  5. Step 5: Solve for x
    x = 40,990,958,115.90/268,129.96
  6. Step 6: Final answer
    x = 152,877.20

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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.