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Finding the Fourth Proportional to 109,435.34, 164,073.08 and 73,808.10

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Solution

The fourth proportional to 109,435.34, 164,073.08 and 73,808.10 is: 110,658.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,435.34 : 164,073.08 = 73,808.10 : x
  2. Step 2: Convert to fraction form
    109,435.34/164,073.08 = 73,808.10/x
  3. Step 3: Cross multiply
    109,435.34x = 164,073.08 × 73,808.10
  4. Step 4: Simplify right side
    109,435.34x = 12,109,921,926.91
  5. Step 5: Solve for x
    x = 12,109,921,926.91/109,435.34
  6. Step 6: Final answer
    x = 110,658.24

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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.