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Finding the Fourth Proportional to 199,199.76, 274,895.72 and 109,775.76

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Solution

The fourth proportional to 199,199.76, 274,895.72 and 109,775.76 is: 151,490.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,199.76 : 274,895.72 = 109,775.76 : x
  2. Step 2: Convert to fraction form
    199,199.76/274,895.72 = 109,775.76/x
  3. Step 3: Cross multiply
    199,199.76x = 274,895.72 × 109,775.76
  4. Step 4: Simplify right side
    199,199.76x = 30,176,886,583.75
  5. Step 5: Solve for x
    x = 30,176,886,583.75/199,199.76
  6. Step 6: Final answer
    x = 151,490.58

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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.