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Finding the Fourth Proportional to 222,484.32, 307,126.08 and 142,016.76

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Solution

The fourth proportional to 222,484.32, 307,126.08 and 142,016.76 is: 196,045.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,484.32 : 307,126.08 = 142,016.76 : x
  2. Step 2: Convert to fraction form
    222,484.32/307,126.08 = 142,016.76/x
  3. Step 3: Cross multiply
    222,484.32x = 307,126.08 × 142,016.76
  4. Step 4: Simplify right side
    222,484.32x = 43,617,050,793.10
  5. Step 5: Solve for x
    x = 43,617,050,793.10/222,484.32
  6. Step 6: Final answer
    x = 196,045.50

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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.