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Finding the Fourth Proportional to 261,227.70, 360,490.23 and 146,506.32

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Solution

The fourth proportional to 261,227.70, 360,490.23 and 146,506.32 is: 202,176.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,227.70 : 360,490.23 = 146,506.32 : x
  2. Step 2: Convert to fraction form
    261,227.70/360,490.23 = 146,506.32/x
  3. Step 3: Cross multiply
    261,227.70x = 360,490.23 × 146,506.32
  4. Step 4: Simplify right side
    261,227.70x = 52,814,096,993.25
  5. Step 5: Solve for x
    x = 52,814,096,993.25/261,227.70
  6. Step 6: Final answer
    x = 202,176.48

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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.