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Finding the Fourth Proportional to 109,598.67, 164,361.10 and 88,488.65

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Solution

The fourth proportional to 109,598.67, 164,361.10 and 88,488.65 is: 132,703.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,598.67 : 164,361.10 = 88,488.65 : x
  2. Step 2: Convert to fraction form
    109,598.67/164,361.10 = 88,488.65/x
  3. Step 3: Cross multiply
    109,598.67x = 164,361.10 × 88,488.65
  4. Step 4: Simplify right side
    109,598.67x = 14,544,092,207.11
  5. Step 5: Solve for x
    x = 14,544,092,207.11/109,598.67
  6. Step 6: Final answer
    x = 132,703.18

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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.