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Finding the Fourth Proportional to 261,238.23, 360,512.71 and 146,542.30

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Solution

The fourth proportional to 261,238.23, 360,512.71 and 146,542.30 is: 202,230.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,238.23 : 360,512.71 = 146,542.30 : x
  2. Step 2: Convert to fraction form
    261,238.23/360,512.71 = 146,542.30/x
  3. Step 3: Cross multiply
    261,238.23x = 360,512.71 × 146,542.30
  4. Step 4: Simplify right side
    261,238.23x = 52,830,360,435.00
  5. Step 5: Solve for x
    x = 52,830,360,435.00/261,238.23
  6. Step 6: Final answer
    x = 202,230.59

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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.