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Finding the Fourth Proportional to 201,068.34, 277,496.49 and 115,035.30

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Solution

The fourth proportional to 201,068.34, 277,496.49 and 115,035.30 is: 158,761.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,068.34 : 277,496.49 = 115,035.30 : x
  2. Step 2: Convert to fraction form
    201,068.34/277,496.49 = 115,035.30/x
  3. Step 3: Cross multiply
    201,068.34x = 277,496.49 × 115,035.30
  4. Step 4: Simplify right side
    201,068.34x = 31,921,891,976.10
  5. Step 5: Solve for x
    x = 31,921,891,976.10/201,068.34
  6. Step 6: Final answer
    x = 158,761.40

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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.