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Finding the Fourth Proportional to 123,148.42, 184,683.75 and 53,008.90

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Solution

The fourth proportional to 123,148.42, 184,683.75 and 53,008.90 is: 79,496.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,148.42 : 184,683.75 = 53,008.90 : x
  2. Step 2: Convert to fraction form
    123,148.42/184,683.75 = 53,008.90/x
  3. Step 3: Cross multiply
    123,148.42x = 184,683.75 × 53,008.90
  4. Step 4: Simplify right side
    123,148.42x = 9,789,882,435.38
  5. Step 5: Solve for x
    x = 9,789,882,435.38/123,148.42
  6. Step 6: Final answer
    x = 79,496.61

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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.