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Finding the Fourth Proportional to 134,951.64, 202,292 and 46,144.40

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Solution

The fourth proportional to 134,951.64, 202,292 and 46,144.40 is: 69,170.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,951.64 : 202,292 = 46,144.40 : x
  2. Step 2: Convert to fraction form
    134,951.64/202,292 = 46,144.40/x
  3. Step 3: Cross multiply
    134,951.64x = 202,292 × 46,144.40
  4. Step 4: Simplify right side
    134,951.64x = 9,334,642,964.80
  5. Step 5: Solve for x
    x = 9,334,642,964.80/134,951.64
  6. Step 6: Final answer
    x = 69,170.28

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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.