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Finding the Fourth Proportional to 314,189.39, 471,213.06 and 89,545.01

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Solution

The fourth proportional to 314,189.39, 471,213.06 and 89,545.01 is: 134,297.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,189.39 : 471,213.06 = 89,545.01 : x
  2. Step 2: Convert to fraction form
    314,189.39/471,213.06 = 89,545.01/x
  3. Step 3: Cross multiply
    314,189.39x = 471,213.06 × 89,545.01
  4. Step 4: Simplify right side
    314,189.39x = 42,194,775,813.77
  5. Step 5: Solve for x
    x = 42,194,775,813.77/314,189.39
  6. Step 6: Final answer
    x = 134,297.27

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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.