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Finding the Fourth Proportional to 265,808.41, 366,824.46 and 144,956.31

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Solution

The fourth proportional to 265,808.41, 366,824.46 and 144,956.31 is: 200,044.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,808.41 : 366,824.46 = 144,956.31 : x
  2. Step 2: Convert to fraction form
    265,808.41/366,824.46 = 144,956.31/x
  3. Step 3: Cross multiply
    265,808.41x = 366,824.46 × 144,956.31
  4. Step 4: Simplify right side
    265,808.41x = 53,173,520,139.34
  5. Step 5: Solve for x
    x = 53,173,520,139.34/265,808.41
  6. Step 6: Final answer
    x = 200,044.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.