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Finding the Fourth Proportional to 280,642.40, 421,129.72 and 103,274

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Solution

The fourth proportional to 280,642.40, 421,129.72 and 103,274 is: 154,972.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,642.40 : 421,129.72 = 103,274 : x
  2. Step 2: Convert to fraction form
    280,642.40/421,129.72 = 103,274/x
  3. Step 3: Cross multiply
    280,642.40x = 421,129.72 × 103,274
  4. Step 4: Simplify right side
    280,642.40x = 43,491,750,703.28
  5. Step 5: Solve for x
    x = 43,491,750,703.28/280,642.40
  6. Step 6: Final answer
    x = 154,972.13

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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.