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Finding the Fourth Proportional to 174,586.64, 240,922.77 and 106,717.25

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Solution

The fourth proportional to 174,586.64, 240,922.77 and 106,717.25 is: 147,265.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,586.64 : 240,922.77 = 106,717.25 : x
  2. Step 2: Convert to fraction form
    174,586.64/240,922.77 = 106,717.25/x
  3. Step 3: Cross multiply
    174,586.64x = 240,922.77 × 106,717.25
  4. Step 4: Simplify right side
    174,586.64x = 25,710,615,476.78
  5. Step 5: Solve for x
    x = 25,710,615,476.78/174,586.64
  6. Step 6: Final answer
    x = 147,265.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.