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Finding the Fourth Proportional to 268,294.56, 370,165.75 and 160,825.38

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Solution

The fourth proportional to 268,294.56, 370,165.75 and 160,825.38 is: 221,890.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,294.56 : 370,165.75 = 160,825.38 : x
  2. Step 2: Convert to fraction form
    268,294.56/370,165.75 = 160,825.38/x
  3. Step 3: Cross multiply
    268,294.56x = 370,165.75 × 160,825.38
  4. Step 4: Simplify right side
    268,294.56x = 59,532,047,406.74
  5. Step 5: Solve for x
    x = 59,532,047,406.74/268,294.56
  6. Step 6: Final answer
    x = 221,890.62

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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.