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Finding the Fourth Proportional to 191,924.19, 264,855.74 and 107,046.72

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Solution

The fourth proportional to 191,924.19, 264,855.74 and 107,046.72 is: 147,724.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,924.19 : 264,855.74 = 107,046.72 : x
  2. Step 2: Convert to fraction form
    191,924.19/264,855.74 = 107,046.72/x
  3. Step 3: Cross multiply
    191,924.19x = 264,855.74 × 107,046.72
  4. Step 4: Simplify right side
    191,924.19x = 28,351,937,704.94
  5. Step 5: Solve for x
    x = 28,351,937,704.94/191,924.19
  6. Step 6: Final answer
    x = 147,724.67

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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.