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Finding the Fourth Proportional to 265,224.32, 366,040.68 and 148,956.85

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Solution

The fourth proportional to 265,224.32, 366,040.68 and 148,956.85 is: 205,577.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,224.32 : 366,040.68 = 148,956.85 : x
  2. Step 2: Convert to fraction form
    265,224.32/366,040.68 = 148,956.85/x
  3. Step 3: Cross multiply
    265,224.32x = 366,040.68 × 148,956.85
  4. Step 4: Simplify right side
    265,224.32x = 54,524,266,664.66
  5. Step 5: Solve for x
    x = 54,524,266,664.66/265,224.32
  6. Step 6: Final answer
    x = 205,577.93

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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.