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Finding the Fourth Proportional to 98,175.60, 135,488.02 and 73,933.16

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Solution

The fourth proportional to 98,175.60, 135,488.02 and 73,933.16 is: 102,032.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,175.60 : 135,488.02 = 73,933.16 : x
  2. Step 2: Convert to fraction form
    98,175.60/135,488.02 = 73,933.16/x
  3. Step 3: Cross multiply
    98,175.60x = 135,488.02 × 73,933.16
  4. Step 4: Simplify right side
    98,175.60x = 10,017,057,460.74
  5. Step 5: Solve for x
    x = 10,017,057,460.74/98,175.60
  6. Step 6: Final answer
    x = 102,032.05

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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.