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Finding the Fourth Proportional to 265,057.59, 397,584.53 and 107,283.77

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Solution

The fourth proportional to 265,057.59, 397,584.53 and 107,283.77 is: 160,924.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,057.59 : 397,584.53 = 107,283.77 : x
  2. Step 2: Convert to fraction form
    265,057.59/397,584.53 = 107,283.77/x
  3. Step 3: Cross multiply
    265,057.59x = 397,584.53 × 107,283.77
  4. Step 4: Simplify right side
    265,057.59x = 42,654,364,747.74
  5. Step 5: Solve for x
    x = 42,654,364,747.74/265,057.59
  6. Step 6: Final answer
    x = 160,924.89

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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.