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Finding the Fourth Proportional to 255,229.74, 382,899.99 and 77,732.16

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Solution

The fourth proportional to 255,229.74, 382,899.99 and 77,732.16 is: 116,615.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,229.74 : 382,899.99 = 77,732.16 : x
  2. Step 2: Convert to fraction form
    255,229.74/382,899.99 = 77,732.16/x
  3. Step 3: Cross multiply
    255,229.74x = 382,899.99 × 77,732.16
  4. Step 4: Simplify right side
    255,229.74x = 29,763,643,286.68
  5. Step 5: Solve for x
    x = 29,763,643,286.68/255,229.74
  6. Step 6: Final answer
    x = 116,615.11

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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.