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Finding the Fourth Proportional to 406,202.11, 609,330.80 and 106,682.15

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Solution

The fourth proportional to 406,202.11, 609,330.80 and 106,682.15 is: 160,030.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,202.11 : 609,330.80 = 106,682.15 : x
  2. Step 2: Convert to fraction form
    406,202.11/609,330.80 = 106,682.15/x
  3. Step 3: Cross multiply
    406,202.11x = 609,330.80 × 106,682.15
  4. Step 4: Simplify right side
    406,202.11x = 65,004,721,595.25
  5. Step 5: Solve for x
    x = 65,004,721,595.25/406,202.11
  6. Step 6: Final answer
    x = 160,030.49

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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.