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Finding the Fourth Proportional to 147,463.50, 221,196.06 and 36,655.50

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Solution

The fourth proportional to 147,463.50, 221,196.06 and 36,655.50 is: 54,983.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,463.50 : 221,196.06 = 36,655.50 : x
  2. Step 2: Convert to fraction form
    147,463.50/221,196.06 = 36,655.50/x
  3. Step 3: Cross multiply
    147,463.50x = 221,196.06 × 36,655.50
  4. Step 4: Simplify right side
    147,463.50x = 8,108,052,177.33
  5. Step 5: Solve for x
    x = 8,108,052,177.33/147,463.50
  6. Step 6: Final answer
    x = 54,983.45

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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.