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Finding the Fourth Proportional to 98,357.36, 146,976.06 and 73,854.24

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Solution

The fourth proportional to 98,357.36, 146,976.06 and 73,854.24 is: 110,360.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,357.36 : 146,976.06 = 73,854.24 : x
  2. Step 2: Convert to fraction form
    98,357.36/146,976.06 = 73,854.24/x
  3. Step 3: Cross multiply
    98,357.36x = 146,976.06 × 73,854.24
  4. Step 4: Simplify right side
    98,357.36x = 10,854,805,209.49
  5. Step 5: Solve for x
    x = 10,854,805,209.49/98,357.36
  6. Step 6: Final answer
    x = 110,360.89

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.