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Finding the Fourth Proportional to 105,223.25, 157,779.56 and 71,952.84

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Solution

The fourth proportional to 105,223.25, 157,779.56 and 71,952.84 is: 107,891.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,223.25 : 157,779.56 = 71,952.84 : x
  2. Step 2: Convert to fraction form
    105,223.25/157,779.56 = 71,952.84/x
  3. Step 3: Cross multiply
    105,223.25x = 157,779.56 × 71,952.84
  4. Step 4: Simplify right side
    105,223.25x = 11,352,687,615.83
  5. Step 5: Solve for x
    x = 11,352,687,615.83/105,223.25
  6. Step 6: Final answer
    x = 107,891.43

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1.5x scale

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.