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Finding the Fourth Proportional to 109,776.16, 151,483.16 and 64,456

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Solution

The fourth proportional to 109,776.16, 151,483.16 and 64,456 is: 88,944.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,776.16 : 151,483.16 = 64,456 : x
  2. Step 2: Convert to fraction form
    109,776.16/151,483.16 = 64,456/x
  3. Step 3: Cross multiply
    109,776.16x = 151,483.16 × 64,456
  4. Step 4: Simplify right side
    109,776.16x = 9,763,998,560.96
  5. Step 5: Solve for x
    x = 9,763,998,560.96/109,776.16
  6. Step 6: Final answer
    x = 88,944.62

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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.