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Finding the Fourth Proportional to 98,797.70, 147,878.34 and 65,091.54

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Solution

The fourth proportional to 98,797.70, 147,878.34 and 65,091.54 is: 97,427.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,797.70 : 147,878.34 = 65,091.54 : x
  2. Step 2: Convert to fraction form
    98,797.70/147,878.34 = 65,091.54/x
  3. Step 3: Cross multiply
    98,797.70x = 147,878.34 × 65,091.54
  4. Step 4: Simplify right side
    98,797.70x = 9,625,628,883.24
  5. Step 5: Solve for x
    x = 9,625,628,883.24/98,797.70
  6. Step 6: Final answer
    x = 97,427.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.