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Finding the Fourth Proportional to 277,083.85, 382,368.03 and 156,224.08

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Solution

The fourth proportional to 277,083.85, 382,368.03 and 156,224.08 is: 215,584.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,083.85 : 382,368.03 = 156,224.08 : x
  2. Step 2: Convert to fraction form
    277,083.85/382,368.03 = 156,224.08/x
  3. Step 3: Cross multiply
    277,083.85x = 382,368.03 × 156,224.08
  4. Step 4: Simplify right side
    277,083.85x = 59,735,093,708.16
  5. Step 5: Solve for x
    x = 59,735,093,708.16/277,083.85
  6. Step 6: Final answer
    x = 215,584.90

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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.