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Finding the Fourth Proportional to 200,951.76, 277,316.91 and 110,316.18

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Solution

The fourth proportional to 200,951.76, 277,316.91 and 110,316.18 is: 152,238.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,951.76 : 277,316.91 = 110,316.18 : x
  2. Step 2: Convert to fraction form
    200,951.76/277,316.91 = 110,316.18/x
  3. Step 3: Cross multiply
    200,951.76x = 277,316.91 × 110,316.18
  4. Step 4: Simplify right side
    200,951.76x = 30,592,542,160.60
  5. Step 5: Solve for x
    x = 30,592,542,160.60/200,951.76
  6. Step 6: Final answer
    x = 152,238.24

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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.