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Finding the Fourth Proportional to 117,896, 162,712.95 and 75,544.76

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Solution

The fourth proportional to 117,896, 162,712.95 and 75,544.76 is: 104,262.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,896 : 162,712.95 = 75,544.76 : x
  2. Step 2: Convert to fraction form
    117,896/162,712.95 = 75,544.76/x
  3. Step 3: Cross multiply
    117,896x = 162,712.95 × 75,544.76
  4. Step 4: Simplify right side
    117,896x = 12,292,110,756.64
  5. Step 5: Solve for x
    x = 12,292,110,756.64/117,896
  6. Step 6: Final answer
    x = 104,262.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.