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Finding the Fourth Proportional to 232,749, 349,143.75 and 64,269.54

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Solution

The fourth proportional to 232,749, 349,143.75 and 64,269.54 is: 96,409.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,749 : 349,143.75 = 64,269.54 : x
  2. Step 2: Convert to fraction form
    232,749/349,143.75 = 64,269.54/x
  3. Step 3: Cross multiply
    232,749x = 349,143.75 × 64,269.54
  4. Step 4: Simplify right side
    232,749x = 22,439,308,206.38
  5. Step 5: Solve for x
    x = 22,439,308,206.38/232,749
  6. Step 6: Final answer
    x = 96,409.90

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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.