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Finding the Fourth Proportional to 277,602.36, 383,092.48 and 150,277.95

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Solution

The fourth proportional to 277,602.36, 383,092.48 and 150,277.95 is: 207,384.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,602.36 : 383,092.48 = 150,277.95 : x
  2. Step 2: Convert to fraction form
    277,602.36/383,092.48 = 150,277.95/x
  3. Step 3: Cross multiply
    277,602.36x = 383,092.48 × 150,277.95
  4. Step 4: Simplify right side
    277,602.36x = 57,570,351,897.35
  5. Step 5: Solve for x
    x = 57,570,351,897.35/277,602.36
  6. Step 6: Final answer
    x = 207,384.23

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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.