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Finding the Fourth Proportional to 114,544.26, 171,631.71 and 61,978.50

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Solution

The fourth proportional to 114,544.26, 171,631.71 and 61,978.50 is: 92,867.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,544.26 : 171,631.71 = 61,978.50 : x
  2. Step 2: Convert to fraction form
    114,544.26/171,631.71 = 61,978.50/x
  3. Step 3: Cross multiply
    114,544.26x = 171,631.71 × 61,978.50
  4. Step 4: Simplify right side
    114,544.26x = 10,637,475,938.24
  5. Step 5: Solve for x
    x = 10,637,475,938.24/114,544.26
  6. Step 6: Final answer
    x = 92,867.82

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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.