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Finding the Fourth Proportional to 117,259.96, 175,888.26 and 28,513.24

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Solution

The fourth proportional to 117,259.96, 175,888.26 and 28,513.24 is: 42,769.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,259.96 : 175,888.26 = 28,513.24 : x
  2. Step 2: Convert to fraction form
    117,259.96/175,888.26 = 28,513.24/x
  3. Step 3: Cross multiply
    117,259.96x = 175,888.26 × 28,513.24
  4. Step 4: Simplify right side
    117,259.96x = 5,015,144,170.56
  5. Step 5: Solve for x
    x = 5,015,144,170.56/117,259.96
  6. Step 6: Final answer
    x = 42,769.45

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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.