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Finding the Fourth Proportional to 232,509.78, 348,768.72 and 64,029.24

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Solution

The fourth proportional to 232,509.78, 348,768.72 and 64,029.24 is: 96,044.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,509.78 : 348,768.72 = 64,029.24 : x
  2. Step 2: Convert to fraction form
    232,509.78/348,768.72 = 64,029.24/x
  3. Step 3: Cross multiply
    232,509.78x = 348,768.72 × 64,029.24
  4. Step 4: Simplify right side
    232,509.78x = 22,331,396,077.37
  5. Step 5: Solve for x
    x = 22,331,396,077.37/232,509.78
  6. Step 6: Final answer
    x = 96,044.98

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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.