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Finding the Fourth Proportional to 152,477, 228,462.86 and 107,882.76

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Solution

The fourth proportional to 152,477, 228,462.86 and 107,882.76 is: 161,645.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,477 : 228,462.86 = 107,882.76 : x
  2. Step 2: Convert to fraction form
    152,477/228,462.86 = 107,882.76/x
  3. Step 3: Cross multiply
    152,477x = 228,462.86 × 107,882.76
  4. Step 4: Simplify right side
    152,477x = 24,647,203,894.29
  5. Step 5: Solve for x
    x = 24,647,203,894.29/152,477
  6. Step 6: Final answer
    x = 161,645.39

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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.