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Finding the Fourth Proportional to 257,199.96, 354,926.16 and 144,017.04

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Solution

The fourth proportional to 257,199.96, 354,926.16 and 144,017.04 is: 198,738.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,199.96 : 354,926.16 = 144,017.04 : x
  2. Step 2: Convert to fraction form
    257,199.96/354,926.16 = 144,017.04/x
  3. Step 3: Cross multiply
    257,199.96x = 354,926.16 × 144,017.04
  4. Step 4: Simplify right side
    257,199.96x = 51,115,414,981.77
  5. Step 5: Solve for x
    x = 51,115,414,981.77/257,199.96
  6. Step 6: Final answer
    x = 198,738.04

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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.