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Finding the Fourth Proportional to 219,792.57, 327,713.82 and 201,025.82

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Solution

The fourth proportional to 219,792.57, 327,713.82 and 201,025.82 is: 299,732.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,792.57 : 327,713.82 = 201,025.82 : x
  2. Step 2: Convert to fraction form
    219,792.57/327,713.82 = 201,025.82/x
  3. Step 3: Cross multiply
    219,792.57x = 327,713.82 × 201,025.82
  4. Step 4: Simplify right side
    219,792.57x = 65,878,937,752.26
  5. Step 5: Solve for x
    x = 65,878,937,752.26/219,792.57
  6. Step 6: Final answer
    x = 299,732.32

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.