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Finding the Fourth Proportional to 98,216.02, 135,538.13 and 53,504.02

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Solution

The fourth proportional to 98,216.02, 135,538.13 and 53,504.02 is: 73,835.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,216.02 : 135,538.13 = 53,504.02 : x
  2. Step 2: Convert to fraction form
    98,216.02/135,538.13 = 53,504.02/x
  3. Step 3: Cross multiply
    98,216.02x = 135,538.13 × 53,504.02
  4. Step 4: Simplify right side
    98,216.02x = 7,251,834,818.28
  5. Step 5: Solve for x
    x = 7,251,834,818.28/98,216.02
  6. Step 6: Final answer
    x = 73,835.56

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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.