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Finding the Fourth Proportional to 106,164.79, 146,502.98 and 57,766.90

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Solution

The fourth proportional to 106,164.79, 146,502.98 and 57,766.90 is: 79,715.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,164.79 : 146,502.98 = 57,766.90 : x
  2. Step 2: Convert to fraction form
    106,164.79/146,502.98 = 57,766.90/x
  3. Step 3: Cross multiply
    106,164.79x = 146,502.98 × 57,766.90
  4. Step 4: Simplify right side
    106,164.79x = 8,463,023,774.59
  5. Step 5: Solve for x
    x = 8,463,023,774.59/106,164.79
  6. Step 6: Final answer
    x = 79,715.92

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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.