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Finding the Fourth Proportional to 99,796.10, 149,694.15 and 97,827.80

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Solution

The fourth proportional to 99,796.10, 149,694.15 and 97,827.80 is: 146,741.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,796.10 : 149,694.15 = 97,827.80 : x
  2. Step 2: Convert to fraction form
    99,796.10/149,694.15 = 97,827.80/x
  3. Step 3: Cross multiply
    99,796.10x = 149,694.15 × 97,827.80
  4. Step 4: Simplify right side
    99,796.10x = 14,644,249,367.37
  5. Step 5: Solve for x
    x = 14,644,249,367.37/99,796.10
  6. Step 6: Final answer
    x = 146,741.70

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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.