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Finding the Fourth Proportional to 194,008.32, 290,983.68 and 53,752.32

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Solution

The fourth proportional to 194,008.32, 290,983.68 and 53,752.32 is: 80,620.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,008.32 : 290,983.68 = 53,752.32 : x
  2. Step 2: Convert to fraction form
    194,008.32/290,983.68 = 53,752.32/x
  3. Step 3: Cross multiply
    194,008.32x = 290,983.68 × 53,752.32
  4. Step 4: Simplify right side
    194,008.32x = 15,641,047,882.14
  5. Step 5: Solve for x
    x = 15,641,047,882.14/194,008.32
  6. Step 6: Final answer
    x = 80,620.50

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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.