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Finding the Fourth Proportional to 153,951.76, 230,960.08 and 57,889.58

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Solution

The fourth proportional to 153,951.76, 230,960.08 and 57,889.58 is: 86,846.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,951.76 : 230,960.08 = 57,889.58 : x
  2. Step 2: Convert to fraction form
    153,951.76/230,960.08 = 57,889.58/x
  3. Step 3: Cross multiply
    153,951.76x = 230,960.08 × 57,889.58
  4. Step 4: Simplify right side
    153,951.76x = 13,370,182,027.97
  5. Step 5: Solve for x
    x = 13,370,182,027.97/153,951.76
  6. Step 6: Final answer
    x = 86,846.57

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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.