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Finding the Fourth Proportional to 200,954.73, 277,307.49 and 116,066.73

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Solution

The fourth proportional to 200,954.73, 277,307.49 and 116,066.73 is: 160,166.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,954.73 : 277,307.49 = 116,066.73 : x
  2. Step 2: Convert to fraction form
    200,954.73/277,307.49 = 116,066.73/x
  3. Step 3: Cross multiply
    200,954.73x = 277,307.49 × 116,066.73
  4. Step 4: Simplify right side
    200,954.73x = 32,186,173,568.81
  5. Step 5: Solve for x
    x = 32,186,173,568.81/200,954.73
  6. Step 6: Final answer
    x = 160,166.29

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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.