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Finding the Fourth Proportional to 254,876.66, 382,392.75 and 130,305.14

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Solution

The fourth proportional to 254,876.66, 382,392.75 and 130,305.14 is: 195,497.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,876.66 : 382,392.75 = 130,305.14 : x
  2. Step 2: Convert to fraction form
    254,876.66/382,392.75 = 130,305.14/x
  3. Step 3: Cross multiply
    254,876.66x = 382,392.75 × 130,305.14
  4. Step 4: Simplify right side
    254,876.66x = 49,827,740,823.74
  5. Step 5: Solve for x
    x = 49,827,740,823.74/254,876.66
  6. Step 6: Final answer
    x = 195,497.46

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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.