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Finding the Fourth Proportional to 109,658.10, 164,098.35 and 74,666.10

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Solution

The fourth proportional to 109,658.10, 164,098.35 and 74,666.10 is: 111,734.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,658.10 : 164,098.35 = 74,666.10 : x
  2. Step 2: Convert to fraction form
    109,658.10/164,098.35 = 74,666.10/x
  3. Step 3: Cross multiply
    109,658.10x = 164,098.35 × 74,666.10
  4. Step 4: Simplify right side
    109,658.10x = 12,252,583,810.94
  5. Step 5: Solve for x
    x = 12,252,583,810.94/109,658.10
  6. Step 6: Final answer
    x = 111,734.42

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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.