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Finding the Fourth Proportional to 146,882.61, 202,697.51 and 83,232.54

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Solution

The fourth proportional to 146,882.61, 202,697.51 and 83,232.54 is: 114,860.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,882.61 : 202,697.51 = 83,232.54 : x
  2. Step 2: Convert to fraction form
    146,882.61/202,697.51 = 83,232.54/x
  3. Step 3: Cross multiply
    146,882.61x = 202,697.51 × 83,232.54
  4. Step 4: Simplify right side
    146,882.61x = 16,871,028,192.81
  5. Step 5: Solve for x
    x = 16,871,028,192.81/146,882.61
  6. Step 6: Final answer
    x = 114,860.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.