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Finding the Fourth Proportional to 109,600, 151,249.08 and 59,300.08

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Solution

The fourth proportional to 109,600, 151,249.08 and 59,300.08 is: 81,834.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,600 : 151,249.08 = 59,300.08 : x
  2. Step 2: Convert to fraction form
    109,600/151,249.08 = 59,300.08/x
  3. Step 3: Cross multiply
    109,600x = 151,249.08 × 59,300.08
  4. Step 4: Simplify right side
    109,600x = 8,969,082,543.93
  5. Step 5: Solve for x
    x = 8,969,082,543.93/109,600
  6. Step 6: Final answer
    x = 81,834.69

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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.