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Finding the Fourth Proportional to 315,922.50, 473,966.73 and 113,539.03

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Solution

The fourth proportional to 315,922.50, 473,966.73 and 113,539.03 is: 170,338.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,922.50 : 473,966.73 = 113,539.03 : x
  2. Step 2: Convert to fraction form
    315,922.50/473,966.73 = 113,539.03/x
  3. Step 3: Cross multiply
    315,922.50x = 473,966.73 × 113,539.03
  4. Step 4: Simplify right side
    315,922.50x = 53,813,721,591.56
  5. Step 5: Solve for x
    x = 53,813,721,591.56/315,922.50
  6. Step 6: Final answer
    x = 170,338.36

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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.