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Finding the Fourth Proportional to 257,376.12, 355,188.78 and 144,195

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Solution

The fourth proportional to 257,376.12, 355,188.78 and 144,195 is: 198,994.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,376.12 : 355,188.78 = 144,195 : x
  2. Step 2: Convert to fraction form
    257,376.12/355,188.78 = 144,195/x
  3. Step 3: Cross multiply
    257,376.12x = 355,188.78 × 144,195
  4. Step 4: Simplify right side
    257,376.12x = 51,216,446,132.10
  5. Step 5: Solve for x
    x = 51,216,446,132.10/257,376.12
  6. Step 6: Final answer
    x = 198,994.55

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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.