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Finding the Fourth Proportional to 116,404, 160,637.52 and 63,412

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Solution

The fourth proportional to 116,404, 160,637.52 and 63,412 is: 87,508.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,404 : 160,637.52 = 63,412 : x
  2. Step 2: Convert to fraction form
    116,404/160,637.52 = 63,412/x
  3. Step 3: Cross multiply
    116,404x = 160,637.52 × 63,412
  4. Step 4: Simplify right side
    116,404x = 10,186,346,418.24
  5. Step 5: Solve for x
    x = 10,186,346,418.24/116,404
  6. Step 6: Final answer
    x = 87,508.56

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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.