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Finding the Fourth Proportional to 261,289.32, 360,644.58 and 160,629

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Solution

The fourth proportional to 261,289.32, 360,644.58 and 160,629 is: 221,708.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,289.32 : 360,644.58 = 160,629 : x
  2. Step 2: Convert to fraction form
    261,289.32/360,644.58 = 160,629/x
  3. Step 3: Cross multiply
    261,289.32x = 360,644.58 × 160,629
  4. Step 4: Simplify right side
    261,289.32x = 57,929,978,240.82
  5. Step 5: Solve for x
    x = 57,929,978,240.82/261,289.32
  6. Step 6: Final answer
    x = 221,708.17

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