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Finding the Fourth Proportional to 254,214.40, 381,206.40 and 96,390.40

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Solution

The fourth proportional to 254,214.40, 381,206.40 and 96,390.40 is: 144,541.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,214.40 : 381,206.40 = 96,390.40 : x
  2. Step 2: Convert to fraction form
    254,214.40/381,206.40 = 96,390.40/x
  3. Step 3: Cross multiply
    254,214.40x = 381,206.40 × 96,390.40
  4. Step 4: Simplify right side
    254,214.40x = 36,744,637,378.56
  5. Step 5: Solve for x
    x = 36,744,637,378.56/254,214.40
  6. Step 6: Final answer
    x = 144,541.92

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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.