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Finding the Fourth Proportional to 147,656.72, 221,501.64 and 54,162.20

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Solution

The fourth proportional to 147,656.72, 221,501.64 and 54,162.20 is: 81,249.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,656.72 : 221,501.64 = 54,162.20 : x
  2. Step 2: Convert to fraction form
    147,656.72/221,501.64 = 54,162.20/x
  3. Step 3: Cross multiply
    147,656.72x = 221,501.64 × 54,162.20
  4. Step 4: Simplify right side
    147,656.72x = 11,997,016,126.01
  5. Step 5: Solve for x
    x = 11,997,016,126.01/147,656.72
  6. Step 6: Final answer
    x = 81,249.37

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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.