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Finding the Fourth Proportional to 199,728.88, 275,499.30 and 151,877.32

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Solution

The fourth proportional to 199,728.88, 275,499.30 and 151,877.32 is: 209,494.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,728.88 : 275,499.30 = 151,877.32 : x
  2. Step 2: Convert to fraction form
    199,728.88/275,499.30 = 151,877.32/x
  3. Step 3: Cross multiply
    199,728.88x = 275,499.30 × 151,877.32
  4. Step 4: Simplify right side
    199,728.88x = 41,842,095,345.88
  5. Step 5: Solve for x
    x = 41,842,095,345.88/199,728.88
  6. Step 6: Final answer
    x = 209,494.47

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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.