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Finding the Fourth Proportional to 257,223.84, 354,949.20 and 144,031.20

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Solution

The fourth proportional to 257,223.84, 354,949.20 and 144,031.20 is: 198,752.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,223.84 : 354,949.20 = 144,031.20 : x
  2. Step 2: Convert to fraction form
    257,223.84/354,949.20 = 144,031.20/x
  3. Step 3: Cross multiply
    257,223.84x = 354,949.20 × 144,031.20
  4. Step 4: Simplify right side
    257,223.84x = 51,123,759,215.04
  5. Step 5: Solve for x
    x = 51,123,759,215.04/257,223.84
  6. Step 6: Final answer
    x = 198,752.03

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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.