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Finding the Fourth Proportional to 114,290.92, 171,434.46 and 31,184.92

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Solution

The fourth proportional to 114,290.92, 171,434.46 and 31,184.92 is: 46,776.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,290.92 : 171,434.46 = 31,184.92 : x
  2. Step 2: Convert to fraction form
    114,290.92/171,434.46 = 31,184.92/x
  3. Step 3: Cross multiply
    114,290.92x = 171,434.46 × 31,184.92
  4. Step 4: Simplify right side
    114,290.92x = 5,346,169,920.34
  5. Step 5: Solve for x
    x = 5,346,169,920.34/114,290.92
  6. Step 6: Final answer
    x = 46,776.86

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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.