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Finding the Fourth Proportional to 218,966.64, 302,255.84 and 170,472.48

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Solution

The fourth proportional to 218,966.64, 302,255.84 and 170,472.48 is: 235,315.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,966.64 : 302,255.84 = 170,472.48 : x
  2. Step 2: Convert to fraction form
    218,966.64/302,255.84 = 170,472.48/x
  3. Step 3: Cross multiply
    218,966.64x = 302,255.84 × 170,472.48
  4. Step 4: Simplify right side
    218,966.64x = 51,526,302,639.28
  5. Step 5: Solve for x
    x = 51,526,302,639.28/218,966.64
  6. Step 6: Final answer
    x = 235,315.77

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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.