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Finding the Fourth Proportional to 147,777, 221,741.64 and 81,269.52

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Solution

The fourth proportional to 147,777, 221,741.64 and 81,269.52 is: 121,946.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,777 : 221,741.64 = 81,269.52 : x
  2. Step 2: Convert to fraction form
    147,777/221,741.64 = 81,269.52/x
  3. Step 3: Cross multiply
    147,777x = 221,741.64 × 81,269.52
  4. Step 4: Simplify right side
    147,777x = 18,020,836,646.81
  5. Step 5: Solve for x
    x = 18,020,836,646.81/147,777
  6. Step 6: Final answer
    x = 121,946.15

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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.