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Finding the Fourth Proportional to 194,595.75, 291,924.84 and 82,277.16

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Solution

The fourth proportional to 194,595.75, 291,924.84 and 82,277.16 is: 123,428.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,595.75 : 291,924.84 = 82,277.16 : x
  2. Step 2: Convert to fraction form
    194,595.75/291,924.84 = 82,277.16/x
  3. Step 3: Cross multiply
    194,595.75x = 291,924.84 × 82,277.16
  4. Step 4: Simplify right side
    194,595.75x = 24,018,746,768.65
  5. Step 5: Solve for x
    x = 24,018,746,768.65/194,595.75
  6. Step 6: Final answer
    x = 123,428.94

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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.