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Finding the Fourth Proportional to 147,132, 220,698.72 and 36,324

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Solution

The fourth proportional to 147,132, 220,698.72 and 36,324 is: 54,486.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,132 : 220,698.72 = 36,324 : x
  2. Step 2: Convert to fraction form
    147,132/220,698.72 = 36,324/x
  3. Step 3: Cross multiply
    147,132x = 220,698.72 × 36,324
  4. Step 4: Simplify right side
    147,132x = 8,016,660,305.28
  5. Step 5: Solve for x
    x = 8,016,660,305.28/147,132
  6. Step 6: Final answer
    x = 54,486.18

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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.