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Finding the Fourth Proportional to 237,500, 327,752.16 and 162,046.88

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Solution

The fourth proportional to 237,500, 327,752.16 and 162,046.88 is: 223,626.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,500 : 327,752.16 = 162,046.88 : x
  2. Step 2: Convert to fraction form
    237,500/327,752.16 = 162,046.88/x
  3. Step 3: Cross multiply
    237,500x = 327,752.16 × 162,046.88
  4. Step 4: Simplify right side
    237,500x = 53,111,214,941.26
  5. Step 5: Solve for x
    x = 53,111,214,941.26/237,500
  6. Step 6: Final answer
    x = 223,626.17

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.