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Finding the Fourth Proportional to 153,785.76, 230,734.03 and 53,961.51

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Solution

The fourth proportional to 153,785.76, 230,734.03 and 53,961.51 is: 80,961.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,785.76 : 230,734.03 = 53,961.51 : x
  2. Step 2: Convert to fraction form
    153,785.76/230,734.03 = 53,961.51/x
  3. Step 3: Cross multiply
    153,785.76x = 230,734.03 × 53,961.51
  4. Step 4: Simplify right side
    153,785.76x = 12,450,756,667.19
  5. Step 5: Solve for x
    x = 12,450,756,667.19/153,785.76
  6. Step 6: Final answer
    x = 80,961.70

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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.