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Finding the Fourth Proportional to 114,652.85, 171,534.31 and 100,506.47

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Solution

The fourth proportional to 114,652.85, 171,534.31 and 100,506.47 is: 150,369.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,652.85 : 171,534.31 = 100,506.47 : x
  2. Step 2: Convert to fraction form
    114,652.85/171,534.31 = 100,506.47/x
  3. Step 3: Cross multiply
    114,652.85x = 171,534.31 × 100,506.47
  4. Step 4: Simplify right side
    114,652.85x = 17,240,306,621.78
  5. Step 5: Solve for x
    x = 17,240,306,621.78/114,652.85
  6. Step 6: Final answer
    x = 150,369.64

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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.