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Finding the Fourth Proportional to 114,301.30, 171,451.95 and 31,195.30

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Solution

The fourth proportional to 114,301.30, 171,451.95 and 31,195.30 is: 46,792.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,301.30 : 171,451.95 = 31,195.30 : x
  2. Step 2: Convert to fraction form
    114,301.30/171,451.95 = 31,195.30/x
  3. Step 3: Cross multiply
    114,301.30x = 171,451.95 × 31,195.30
  4. Step 4: Simplify right side
    114,301.30x = 5,348,495,015.84
  5. Step 5: Solve for x
    x = 5,348,495,015.84/114,301.30
  6. Step 6: Final answer
    x = 46,792.95

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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.