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Finding the Fourth Proportional to 310,862.14, 466,243.53 and 111,145.30

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Solution

The fourth proportional to 310,862.14, 466,243.53 and 111,145.30 is: 166,700.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,862.14 : 466,243.53 = 111,145.30 : x
  2. Step 2: Convert to fraction form
    310,862.14/466,243.53 = 111,145.30/x
  3. Step 3: Cross multiply
    310,862.14x = 466,243.53 × 111,145.30
  4. Step 4: Simplify right side
    310,862.14x = 51,820,777,014.91
  5. Step 5: Solve for x
    x = 51,820,777,014.91/310,862.14
  6. Step 6: Final answer
    x = 166,700.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.