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Finding the Fourth Proportional to 173,205, 259,815.06 and 54,885.06

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Solution

The fourth proportional to 173,205, 259,815.06 and 54,885.06 is: 82,329.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,205 : 259,815.06 = 54,885.06 : x
  2. Step 2: Convert to fraction form
    173,205/259,815.06 = 54,885.06/x
  3. Step 3: Cross multiply
    173,205x = 259,815.06 × 54,885.06
  4. Step 4: Simplify right side
    173,205x = 14,259,965,157.00
  5. Step 5: Solve for x
    x = 14,259,965,157.00/173,205
  6. Step 6: Final answer
    x = 82,329.99

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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.