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Finding the Fourth Proportional to 311,107.90, 466,663.30 and 108,703.16

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Solution

The fourth proportional to 311,107.90, 466,663.30 and 108,703.16 is: 163,055.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,107.90 : 466,663.30 = 108,703.16 : x
  2. Step 2: Convert to fraction form
    311,107.90/466,663.30 = 108,703.16/x
  3. Step 3: Cross multiply
    311,107.90x = 466,663.30 × 108,703.16
  4. Step 4: Simplify right side
    311,107.90x = 50,727,775,366.03
  5. Step 5: Solve for x
    x = 50,727,775,366.03/311,107.90
  6. Step 6: Final answer
    x = 163,055.25

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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.