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Finding the Fourth Proportional to 277,718.94, 383,251.56 and 150,394.14

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Solution

The fourth proportional to 277,718.94, 383,251.56 and 150,394.14 is: 207,543.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,718.94 : 383,251.56 = 150,394.14 : x
  2. Step 2: Convert to fraction form
    277,718.94/383,251.56 = 150,394.14/x
  3. Step 3: Cross multiply
    277,718.94x = 383,251.56 × 150,394.14
  4. Step 4: Simplify right side
    277,718.94x = 57,638,788,769.86
  5. Step 5: Solve for x
    x = 57,638,788,769.86/277,718.94
  6. Step 6: Final answer
    x = 207,543.60

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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.