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Finding the Fourth Proportional to 207,717.53, 286,650.34 and 112,224.20

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Solution

The fourth proportional to 207,717.53, 286,650.34 and 112,224.20 is: 154,869.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,717.53 : 286,650.34 = 112,224.20 : x
  2. Step 2: Convert to fraction form
    207,717.53/286,650.34 = 112,224.20/x
  3. Step 3: Cross multiply
    207,717.53x = 286,650.34 × 112,224.20
  4. Step 4: Simplify right side
    207,717.53x = 32,169,103,808.48
  5. Step 5: Solve for x
    x = 32,169,103,808.48/207,717.53
  6. Step 6: Final answer
    x = 154,869.47

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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.