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Finding the Fourth Proportional to 114,153.57, 171,289.42 and 82,822.24

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Solution

The fourth proportional to 114,153.57, 171,289.42 and 82,822.24 is: 124,276.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,153.57 : 171,289.42 = 82,822.24 : x
  2. Step 2: Convert to fraction form
    114,153.57/171,289.42 = 82,822.24/x
  3. Step 3: Cross multiply
    114,153.57x = 171,289.42 × 82,822.24
  4. Step 4: Simplify right side
    114,153.57x = 14,186,572,978.01
  5. Step 5: Solve for x
    x = 14,186,572,978.01/114,153.57
  6. Step 6: Final answer
    x = 124,276.21

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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.