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Finding the Fourth Proportional to 261,096.16, 360,321.60 and 146,379.64

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Solution

The fourth proportional to 261,096.16, 360,321.60 and 146,379.64 is: 202,008.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,096.16 : 360,321.60 = 146,379.64 : x
  2. Step 2: Convert to fraction form
    261,096.16/360,321.60 = 146,379.64/x
  3. Step 3: Cross multiply
    261,096.16x = 360,321.60 × 146,379.64
  4. Step 4: Simplify right side
    261,096.16x = 52,743,746,092.22
  5. Step 5: Solve for x
    x = 52,743,746,092.22/261,096.16
  6. Step 6: Final answer
    x = 202,008.89

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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.