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Finding the Fourth Proportional to 257,226.84, 354,953.34 and 144,034.20

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Solution

The fourth proportional to 257,226.84, 354,953.34 and 144,034.20 is: 198,756.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,226.84 : 354,953.34 = 144,034.20 : x
  2. Step 2: Convert to fraction form
    257,226.84/354,953.34 = 144,034.20/x
  3. Step 3: Cross multiply
    257,226.84x = 354,953.34 × 144,034.20
  4. Step 4: Simplify right side
    257,226.84x = 51,125,420,364.23
  5. Step 5: Solve for x
    x = 51,125,420,364.23/257,226.84
  6. Step 6: Final answer
    x = 198,756.17

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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.