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Finding the Fourth Proportional to 254,594.59, 381,946.96 and 96,826.03

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Solution

The fourth proportional to 254,594.59, 381,946.96 and 96,826.03 is: 145,259.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,594.59 : 381,946.96 = 96,826.03 : x
  2. Step 2: Convert to fraction form
    254,594.59/381,946.96 = 96,826.03/x
  3. Step 3: Cross multiply
    254,594.59x = 381,946.96 × 96,826.03
  4. Step 4: Simplify right side
    254,594.59x = 36,982,406,973.53
  5. Step 5: Solve for x
    x = 36,982,406,973.53/254,594.59
  6. Step 6: Final answer
    x = 145,259.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.