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Finding the Fourth Proportional to 200,707.84, 276,974.54 and 115,823.08

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Solution

The fourth proportional to 200,707.84, 276,974.54 and 115,823.08 is: 159,834.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,707.84 : 276,974.54 = 115,823.08 : x
  2. Step 2: Convert to fraction form
    200,707.84/276,974.54 = 115,823.08/x
  3. Step 3: Cross multiply
    200,707.84x = 276,974.54 × 115,823.08
  4. Step 4: Simplify right side
    200,707.84x = 32,080,044,304.38
  5. Step 5: Solve for x
    x = 32,080,044,304.38/200,707.84
  6. Step 6: Final answer
    x = 159,834.54

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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.