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Finding the Fourth Proportional to 208,552.77, 312,853.32 and 75,495.69

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Solution

The fourth proportional to 208,552.77, 312,853.32 and 75,495.69 is: 113,252.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,552.77 : 312,853.32 = 75,495.69 : x
  2. Step 2: Convert to fraction form
    208,552.77/312,853.32 = 75,495.69/x
  3. Step 3: Cross multiply
    208,552.77x = 312,853.32 × 75,495.69
  4. Step 4: Simplify right side
    208,552.77x = 23,619,077,262.19
  5. Step 5: Solve for x
    x = 23,619,077,262.19/208,552.77
  6. Step 6: Final answer
    x = 113,252.28

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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.