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Finding the Fourth Proportional to 114,098.96, 170,887.26 and 69,627.80

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Solution

The fourth proportional to 114,098.96, 170,887.26 and 69,627.80 is: 104,282.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,098.96 : 170,887.26 = 69,627.80 : x
  2. Step 2: Convert to fraction form
    114,098.96/170,887.26 = 69,627.80/x
  3. Step 3: Cross multiply
    114,098.96x = 170,887.26 × 69,627.80
  4. Step 4: Simplify right side
    114,098.96x = 11,898,503,961.83
  5. Step 5: Solve for x
    x = 11,898,503,961.83/114,098.96
  6. Step 6: Final answer
    x = 104,282.32

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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.