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Finding the Fourth Proportional to 117,894, 162,710.19 and 75,542.76

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Solution

The fourth proportional to 117,894, 162,710.19 and 75,542.76 is: 104,259.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,894 : 162,710.19 = 75,542.76 : x
  2. Step 2: Convert to fraction form
    117,894/162,710.19 = 75,542.76/x
  3. Step 3: Cross multiply
    117,894x = 162,710.19 × 75,542.76
  4. Step 4: Simplify right side
    117,894x = 12,291,576,832.72
  5. Step 5: Solve for x
    x = 12,291,576,832.72/117,894
  6. Step 6: Final answer
    x = 104,259.56

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