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Finding the Fourth Proportional to 115,157.40, 172,742.30 and 36,277.80

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Solution

The fourth proportional to 115,157.40, 172,742.30 and 36,277.80 is: 54,418.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,157.40 : 172,742.30 = 36,277.80 : x
  2. Step 2: Convert to fraction form
    115,157.40/172,742.30 = 36,277.80/x
  3. Step 3: Cross multiply
    115,157.40x = 172,742.30 × 36,277.80
  4. Step 4: Simplify right side
    115,157.40x = 6,266,710,610.94
  5. Step 5: Solve for x
    x = 6,266,710,610.94/115,157.40
  6. Step 6: Final answer
    x = 54,418.65

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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.