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Finding the Fourth Proportional to 153,951.56, 230,748.06 and 65,175.56

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Solution

The fourth proportional to 153,951.56, 230,748.06 and 65,175.56 is: 97,687.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,951.56 : 230,748.06 = 65,175.56 : x
  2. Step 2: Convert to fraction form
    153,951.56/230,748.06 = 65,175.56/x
  3. Step 3: Cross multiply
    153,951.56x = 230,748.06 × 65,175.56
  4. Step 4: Simplify right side
    153,951.56x = 15,039,134,029.41
  5. Step 5: Solve for x
    x = 15,039,134,029.41/153,951.56
  6. Step 6: Final answer
    x = 97,687.44

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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.