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Finding the Fourth Proportional to 85,781.89, 128,393.38 and 77,597.65

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Solution

The fourth proportional to 85,781.89, 128,393.38 and 77,597.65 is: 116,143.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,781.89 : 128,393.38 = 77,597.65 : x
  2. Step 2: Convert to fraction form
    85,781.89/128,393.38 = 77,597.65/x
  3. Step 3: Cross multiply
    85,781.89x = 128,393.38 × 77,597.65
  4. Step 4: Simplify right side
    85,781.89x = 9,963,024,563.56
  5. Step 5: Solve for x
    x = 9,963,024,563.56/85,781.89
  6. Step 6: Final answer
    x = 116,143.68

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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.