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Finding the Fourth Proportional to 201,477.84, 278,048.82 and 116,578.48

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Solution

The fourth proportional to 201,477.84, 278,048.82 and 116,578.48 is: 160,883.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,477.84 : 278,048.82 = 116,578.48 : x
  2. Step 2: Convert to fraction form
    201,477.84/278,048.82 = 116,578.48/x
  3. Step 3: Cross multiply
    201,477.84x = 278,048.82 × 116,578.48
  4. Step 4: Simplify right side
    201,477.84x = 32,414,508,801.39
  5. Step 5: Solve for x
    x = 32,414,508,801.39/201,477.84
  6. Step 6: Final answer
    x = 160,883.74

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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.