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Finding the Fourth Proportional to 222,034.05, 306,441.50 and 145,774.40

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Solution

The fourth proportional to 222,034.05, 306,441.50 and 145,774.40 is: 201,191.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,034.05 : 306,441.50 = 145,774.40 : x
  2. Step 2: Convert to fraction form
    222,034.05/306,441.50 = 145,774.40/x
  3. Step 3: Cross multiply
    222,034.05x = 306,441.50 × 145,774.40
  4. Step 4: Simplify right side
    222,034.05x = 44,671,323,536.52
  5. Step 5: Solve for x
    x = 44,671,323,536.52/222,034.05
  6. Step 6: Final answer
    x = 201,191.32

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.