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Finding the Fourth Proportional to 200,922, 277,270.62 and 110,281.80

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Solution

The fourth proportional to 200,922, 277,270.62 and 110,281.80 is: 152,187.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,922 : 277,270.62 = 110,281.80 : x
  2. Step 2: Convert to fraction form
    200,922/277,270.62 = 110,281.80/x
  3. Step 3: Cross multiply
    200,922x = 277,270.62 × 110,281.80
  4. Step 4: Simplify right side
    200,922x = 30,577,903,060.72
  5. Step 5: Solve for x
    x = 30,577,903,060.72/200,922
  6. Step 6: Final answer
    x = 152,187.93

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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.