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Finding the Fourth Proportional to 114,337.30, 171,505.95 and 31,231.30

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Solution

The fourth proportional to 114,337.30, 171,505.95 and 31,231.30 is: 46,846.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,337.30 : 171,505.95 = 31,231.30 : x
  2. Step 2: Convert to fraction form
    114,337.30/171,505.95 = 31,231.30/x
  3. Step 3: Cross multiply
    114,337.30x = 171,505.95 × 31,231.30
  4. Step 4: Simplify right side
    114,337.30x = 5,356,353,776.24
  5. Step 5: Solve for x
    x = 5,356,353,776.24/114,337.30
  6. Step 6: Final answer
    x = 46,846.95

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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.