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Finding the Fourth Proportional to 96,152.52, 144,202.86 and 43,509

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Solution

The fourth proportional to 96,152.52, 144,202.86 and 43,509 is: 65,251.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,152.52 : 144,202.86 = 43,509 : x
  2. Step 2: Convert to fraction form
    96,152.52/144,202.86 = 43,509/x
  3. Step 3: Cross multiply
    96,152.52x = 144,202.86 × 43,509
  4. Step 4: Simplify right side
    96,152.52x = 6,274,122,235.74
  5. Step 5: Solve for x
    x = 6,274,122,235.74/96,152.52
  6. Step 6: Final answer
    x = 65,251.77

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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.