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Finding the Fourth Proportional to 114,458, 171,716.16 and 43,409.66

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Solution

The fourth proportional to 114,458, 171,716.16 and 43,409.66 is: 65,125.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,458 : 171,716.16 = 43,409.66 : x
  2. Step 2: Convert to fraction form
    114,458/171,716.16 = 43,409.66/x
  3. Step 3: Cross multiply
    114,458x = 171,716.16 × 43,409.66
  4. Step 4: Simplify right side
    114,458x = 7,454,140,122.11
  5. Step 5: Solve for x
    x = 7,454,140,122.11/114,458
  6. Step 6: Final answer
    x = 65,125.55

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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.