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Finding the Fourth Proportional to 207,212.74, 285,953.16 and 116,568.76

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Solution

The fourth proportional to 207,212.74, 285,953.16 and 116,568.76 is: 160,864.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,212.74 : 285,953.16 = 116,568.76 : x
  2. Step 2: Convert to fraction form
    207,212.74/285,953.16 = 116,568.76/x
  3. Step 3: Cross multiply
    207,212.74x = 285,953.16 × 116,568.76
  4. Step 4: Simplify right side
    207,212.74x = 33,333,205,279.28
  5. Step 5: Solve for x
    x = 33,333,205,279.28/207,212.74
  6. Step 6: Final answer
    x = 160,864.65

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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.