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Finding the Fourth Proportional to 334,725.60, 502,085.20 and 82,007.20

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Solution

The fourth proportional to 334,725.60, 502,085.20 and 82,007.20 is: 123,010.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,725.60 : 502,085.20 = 82,007.20 : x
  2. Step 2: Convert to fraction form
    334,725.60/502,085.20 = 82,007.20/x
  3. Step 3: Cross multiply
    334,725.60x = 502,085.20 × 82,007.20
  4. Step 4: Simplify right side
    334,725.60x = 41,174,601,413.44
  5. Step 5: Solve for x
    x = 41,174,601,413.44/334,725.60
  6. Step 6: Final answer
    x = 123,010.02

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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.