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Finding the Fourth Proportional to 261,886.56, 361,393.86 and 160,082.52

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Solution

The fourth proportional to 261,886.56, 361,393.86 and 160,082.52 is: 220,908.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,886.56 : 361,393.86 = 160,082.52 : x
  2. Step 2: Convert to fraction form
    261,886.56/361,393.86 = 160,082.52/x
  3. Step 3: Cross multiply
    261,886.56x = 361,393.86 × 160,082.52
  4. Step 4: Simplify right side
    261,886.56x = 57,852,839,821.33
  5. Step 5: Solve for x
    x = 57,852,839,821.33/261,886.56
  6. Step 6: Final answer
    x = 220,908.01

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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.