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Finding the Fourth Proportional to 200,845.71, 277,177.14 and 114,809.13

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Solution

The fourth proportional to 200,845.71, 277,177.14 and 114,809.13 is: 158,442.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,845.71 : 277,177.14 = 114,809.13 : x
  2. Step 2: Convert to fraction form
    200,845.71/277,177.14 = 114,809.13/x
  3. Step 3: Cross multiply
    200,845.71x = 277,177.14 × 114,809.13
  4. Step 4: Simplify right side
    200,845.71x = 31,822,466,299.29
  5. Step 5: Solve for x
    x = 31,822,466,299.29/200,845.71
  6. Step 6: Final answer
    x = 158,442.35

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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.