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Finding the Fourth Proportional to 191,643.68, 264,464.78 and 106,758.92

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Solution

The fourth proportional to 191,643.68, 264,464.78 and 106,758.92 is: 147,325.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,643.68 : 264,464.78 = 106,758.92 : x
  2. Step 2: Convert to fraction form
    191,643.68/264,464.78 = 106,758.92/x
  3. Step 3: Cross multiply
    191,643.68x = 264,464.78 × 106,758.92
  4. Step 4: Simplify right side
    191,643.68x = 28,233,974,290.84
  5. Step 5: Solve for x
    x = 28,233,974,290.84/191,643.68
  6. Step 6: Final answer
    x = 147,325.36

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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.