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Finding the Fourth Proportional to 193,097.80, 290,424.30 and 172,880.20

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Solution

The fourth proportional to 193,097.80, 290,424.30 and 172,880.20 is: 260,016.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,097.80 : 290,424.30 = 172,880.20 : x
  2. Step 2: Convert to fraction form
    193,097.80/290,424.30 = 172,880.20/x
  3. Step 3: Cross multiply
    193,097.80x = 290,424.30 × 172,880.20
  4. Step 4: Simplify right side
    193,097.80x = 50,208,611,068.86
  5. Step 5: Solve for x
    x = 50,208,611,068.86/193,097.80
  6. Step 6: Final answer
    x = 260,016.48

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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.