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Finding the Fourth Proportional to 257,059.04, 354,691.06 and 161,510.38

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Solution

The fourth proportional to 257,059.04, 354,691.06 and 161,510.38 is: 222,852.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,059.04 : 354,691.06 = 161,510.38 : x
  2. Step 2: Convert to fraction form
    257,059.04/354,691.06 = 161,510.38/x
  3. Step 3: Cross multiply
    257,059.04x = 354,691.06 × 161,510.38
  4. Step 4: Simplify right side
    257,059.04x = 57,286,287,883.20
  5. Step 5: Solve for x
    x = 57,286,287,883.20/257,059.04
  6. Step 6: Final answer
    x = 222,852.65

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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.