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Finding the Fourth Proportional to 99,801.10, 149,701.65 and 97,832.80

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Solution

The fourth proportional to 99,801.10, 149,701.65 and 97,832.80 is: 146,749.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,801.10 : 149,701.65 = 97,832.80 : x
  2. Step 2: Convert to fraction form
    99,801.10/149,701.65 = 97,832.80/x
  3. Step 3: Cross multiply
    99,801.10x = 149,701.65 × 97,832.80
  4. Step 4: Simplify right side
    99,801.10x = 14,645,731,584.12
  5. Step 5: Solve for x
    x = 14,645,731,584.12/99,801.10
  6. Step 6: Final answer
    x = 146,749.20

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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.