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Finding the Fourth Proportional to 117,437.75, 176,178.49 and 53,400.47

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Solution

The fourth proportional to 117,437.75, 176,178.49 and 53,400.47 is: 80,110.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,437.75 : 176,178.49 = 53,400.47 : x
  2. Step 2: Convert to fraction form
    117,437.75/176,178.49 = 53,400.47/x
  3. Step 3: Cross multiply
    117,437.75x = 176,178.49 × 53,400.47
  4. Step 4: Simplify right side
    117,437.75x = 9,408,013,455.87
  5. Step 5: Solve for x
    x = 9,408,013,455.87/117,437.75
  6. Step 6: Final answer
    x = 80,110.64

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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.