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Finding the Fourth Proportional to 230,544.64, 345,823.36 and 64,332.48

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Solution

The fourth proportional to 230,544.64, 345,823.36 and 64,332.48 is: 96,500.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,544.64 : 345,823.36 = 64,332.48 : x
  2. Step 2: Convert to fraction form
    230,544.64/345,823.36 = 64,332.48/x
  3. Step 3: Cross multiply
    230,544.64x = 345,823.36 × 64,332.48
  4. Step 4: Simplify right side
    230,544.64x = 22,247,674,390.73
  5. Step 5: Solve for x
    x = 22,247,674,390.73/230,544.64
  6. Step 6: Final answer
    x = 96,500.51

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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.