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Finding the Fourth Proportional to 114,109.90, 171,189.15 and 35,232.10

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Solution

The fourth proportional to 114,109.90, 171,189.15 and 35,232.10 is: 52,855.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,109.90 : 171,189.15 = 35,232.10 : x
  2. Step 2: Convert to fraction form
    114,109.90/171,189.15 = 35,232.10/x
  3. Step 3: Cross multiply
    114,109.90x = 171,189.15 × 35,232.10
  4. Step 4: Simplify right side
    114,109.90x = 6,031,353,251.72
  5. Step 5: Solve for x
    x = 6,031,353,251.72/114,109.90
  6. Step 6: Final answer
    x = 52,855.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.