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Finding the Fourth Proportional to 200,941.92, 277,298.55 and 110,295.54

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Solution

The fourth proportional to 200,941.92, 277,298.55 and 110,295.54 is: 152,207.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,941.92 : 277,298.55 = 110,295.54 : x
  2. Step 2: Convert to fraction form
    200,941.92/277,298.55 = 110,295.54/x
  3. Step 3: Cross multiply
    200,941.92x = 277,298.55 × 110,295.54
  4. Step 4: Simplify right side
    200,941.92x = 30,584,793,313.47
  5. Step 5: Solve for x
    x = 30,584,793,313.47/200,941.92
  6. Step 6: Final answer
    x = 152,207.13

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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.