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Finding the Fourth Proportional to 254,383.10, 381,574.65 and 77,014.70

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Solution

The fourth proportional to 254,383.10, 381,574.65 and 77,014.70 is: 115,522.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,383.10 : 381,574.65 = 77,014.70 : x
  2. Step 2: Convert to fraction form
    254,383.10/381,574.65 = 77,014.70/x
  3. Step 3: Cross multiply
    254,383.10x = 381,574.65 × 77,014.70
  4. Step 4: Simplify right side
    254,383.10x = 29,386,857,197.36
  5. Step 5: Solve for x
    x = 29,386,857,197.36/254,383.10
  6. Step 6: Final answer
    x = 115,522.05

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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.