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Finding the Fourth Proportional to 117,269.50, 175,904.25 and 51,605.50

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Solution

The fourth proportional to 117,269.50, 175,904.25 and 51,605.50 is: 77,408.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,269.50 : 175,904.25 = 51,605.50 : x
  2. Step 2: Convert to fraction form
    117,269.50/175,904.25 = 51,605.50/x
  3. Step 3: Cross multiply
    117,269.50x = 175,904.25 × 51,605.50
  4. Step 4: Simplify right side
    117,269.50x = 9,077,626,773.38
  5. Step 5: Solve for x
    x = 9,077,626,773.38/117,269.50
  6. Step 6: Final answer
    x = 77,408.25

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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.