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Finding the Fourth Proportional to 103,125.98, 154,738.74 and 56,377.64

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Solution

The fourth proportional to 103,125.98, 154,738.74 and 56,377.64 is: 84,593.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,125.98 : 154,738.74 = 56,377.64 : x
  2. Step 2: Convert to fraction form
    103,125.98/154,738.74 = 56,377.64/x
  3. Step 3: Cross multiply
    103,125.98x = 154,738.74 × 56,377.64
  4. Step 4: Simplify right side
    103,125.98x = 8,723,804,977.77
  5. Step 5: Solve for x
    x = 8,723,804,977.77/103,125.98
  6. Step 6: Final answer
    x = 84,593.67

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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.