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Finding the Fourth Proportional to 277,810.20, 383,376.72 and 150,486

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Solution

The fourth proportional to 277,810.20, 383,376.72 and 150,486 is: 207,669.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,810.20 : 383,376.72 = 150,486 : x
  2. Step 2: Convert to fraction form
    277,810.20/383,376.72 = 150,486/x
  3. Step 3: Cross multiply
    277,810.20x = 383,376.72 × 150,486
  4. Step 4: Simplify right side
    277,810.20x = 57,692,829,085.92
  5. Step 5: Solve for x
    x = 57,692,829,085.92/277,810.20
  6. Step 6: Final answer
    x = 207,669.95

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.