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Finding the Fourth Proportional to 98,914.50, 136,502.01 and 54,202.50

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Solution

The fourth proportional to 98,914.50, 136,502.01 and 54,202.50 is: 74,799.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,914.50 : 136,502.01 = 54,202.50 : x
  2. Step 2: Convert to fraction form
    98,914.50/136,502.01 = 54,202.50/x
  3. Step 3: Cross multiply
    98,914.50x = 136,502.01 × 54,202.50
  4. Step 4: Simplify right side
    98,914.50x = 7,398,750,197.03
  5. Step 5: Solve for x
    x = 7,398,750,197.03/98,914.50
  6. Step 6: Final answer
    x = 74,799.45

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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.