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Finding the Fourth Proportional to 193,532.10, 290,298.15 and 82,940.10

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Solution

The fourth proportional to 193,532.10, 290,298.15 and 82,940.10 is: 124,410.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,532.10 : 290,298.15 = 82,940.10 : x
  2. Step 2: Convert to fraction form
    193,532.10/290,298.15 = 82,940.10/x
  3. Step 3: Cross multiply
    193,532.10x = 290,298.15 × 82,940.10
  4. Step 4: Simplify right side
    193,532.10x = 24,077,357,590.82
  5. Step 5: Solve for x
    x = 24,077,357,590.82/193,532.10
  6. Step 6: Final answer
    x = 124,410.15

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1.5x scale

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.