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Finding the Fourth Proportional to 173,200, 259,049.48 and 101,952.84

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Solution

The fourth proportional to 173,200, 259,049.48 and 101,952.84 is: 152,487.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,200 : 259,049.48 = 101,952.84 : x
  2. Step 2: Convert to fraction form
    173,200/259,049.48 = 101,952.84/x
  3. Step 3: Cross multiply
    173,200x = 259,049.48 × 101,952.84
  4. Step 4: Simplify right side
    173,200x = 26,410,830,186.52
  5. Step 5: Solve for x
    x = 26,410,830,186.52/173,200
  6. Step 6: Final answer
    x = 152,487.47

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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.