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Finding the Fourth Proportional to 200,881.68, 277,148.06 and 114,778.89

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Solution

The fourth proportional to 200,881.68, 277,148.06 and 114,778.89 is: 158,355.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,881.68 : 277,148.06 = 114,778.89 : x
  2. Step 2: Convert to fraction form
    200,881.68/277,148.06 = 114,778.89/x
  3. Step 3: Cross multiply
    200,881.68x = 277,148.06 × 114,778.89
  4. Step 4: Simplify right side
    200,881.68x = 31,810,746,118.56
  5. Step 5: Solve for x
    x = 31,810,746,118.56/200,881.68
  6. Step 6: Final answer
    x = 158,355.64

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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.