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Finding the Fourth Proportional to 277,695.95, 383,215.86 and 150,370.02

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Solution

The fourth proportional to 277,695.95, 383,215.86 and 150,370.02 is: 207,508.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,695.95 : 383,215.86 = 150,370.02 : x
  2. Step 2: Convert to fraction form
    277,695.95/383,215.86 = 150,370.02/x
  3. Step 3: Cross multiply
    277,695.95x = 383,215.86 × 150,370.02
  4. Step 4: Simplify right side
    277,695.95x = 57,624,176,532.52
  5. Step 5: Solve for x
    x = 57,624,176,532.52/277,695.95
  6. Step 6: Final answer
    x = 207,508.17

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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.