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Finding the Fourth Proportional to 214,728.40, 322,092.60 and 195,045.40

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Solution

The fourth proportional to 214,728.40, 322,092.60 and 195,045.40 is: 292,568.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,728.40 : 322,092.60 = 195,045.40 : x
  2. Step 2: Convert to fraction form
    214,728.40/322,092.60 = 195,045.40/x
  3. Step 3: Cross multiply
    214,728.40x = 322,092.60 × 195,045.40
  4. Step 4: Simplify right side
    214,728.40x = 62,822,680,004.04
  5. Step 5: Solve for x
    x = 62,822,680,004.04/214,728.40
  6. Step 6: Final answer
    x = 292,568.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.