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Finding the Fourth Proportional to 232,757, 349,155.76 and 64,277.54

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Solution

The fourth proportional to 232,757, 349,155.76 and 64,277.54 is: 96,421.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,757 : 349,155.76 = 64,277.54 : x
  2. Step 2: Convert to fraction form
    232,757/349,155.76 = 64,277.54/x
  3. Step 3: Cross multiply
    232,757x = 349,155.76 × 64,277.54
  4. Step 4: Simplify right side
    232,757x = 22,442,873,329.63
  5. Step 5: Solve for x
    x = 22,442,873,329.63/232,757
  6. Step 6: Final answer
    x = 96,421.90

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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.