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Finding the Fourth Proportional to 277,499.16, 382,947.35 and 150,174.77

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Solution

The fourth proportional to 277,499.16, 382,947.35 and 150,174.77 is: 207,240.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,499.16 : 382,947.35 = 150,174.77 : x
  2. Step 2: Convert to fraction form
    277,499.16/382,947.35 = 150,174.77/x
  3. Step 3: Cross multiply
    277,499.16x = 382,947.35 × 150,174.77
  4. Step 4: Simplify right side
    277,499.16x = 57,509,027,542.75
  5. Step 5: Solve for x
    x = 57,509,027,542.75/277,499.16
  6. Step 6: Final answer
    x = 207,240.37

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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.