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Finding the Fourth Proportional to 277,001.46, 415,359.90 and 127,112.76

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Solution

The fourth proportional to 277,001.46, 415,359.90 and 127,112.76 is: 190,603.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,001.46 : 415,359.90 = 127,112.76 : x
  2. Step 2: Convert to fraction form
    277,001.46/415,359.90 = 127,112.76/x
  3. Step 3: Cross multiply
    277,001.46x = 415,359.90 × 127,112.76
  4. Step 4: Simplify right side
    277,001.46x = 52,797,543,282.32
  5. Step 5: Solve for x
    x = 52,797,543,282.32/277,001.46
  6. Step 6: Final answer
    x = 190,603.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.