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Finding the Fourth Proportional to 107,082, 147,569.45 and 78,410.43

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Solution

The fourth proportional to 107,082, 147,569.45 and 78,410.43 is: 108,057.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,082 : 147,569.45 = 78,410.43 : x
  2. Step 2: Convert to fraction form
    107,082/147,569.45 = 78,410.43/x
  3. Step 3: Cross multiply
    107,082x = 147,569.45 × 78,410.43
  4. Step 4: Simplify right side
    107,082x = 11,570,983,637.31
  5. Step 5: Solve for x
    x = 11,570,983,637.31/107,082
  6. Step 6: Final answer
    x = 108,057.22

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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.