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Finding the Fourth Proportional to 150,590.12, 207,814.43 and 83,522.12

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Solution

The fourth proportional to 150,590.12, 207,814.43 and 83,522.12 is: 115,260.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,590.12 : 207,814.43 = 83,522.12 : x
  2. Step 2: Convert to fraction form
    150,590.12/207,814.43 = 83,522.12/x
  3. Step 3: Cross multiply
    150,590.12x = 207,814.43 × 83,522.12
  4. Step 4: Simplify right side
    150,590.12x = 17,357,100,929.92
  5. Step 5: Solve for x
    x = 17,357,100,929.92/150,590.12
  6. Step 6: Final answer
    x = 115,260.56

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1.5x scale

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.