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Finding the Fourth Proportional to 277,229.40, 382,534.14 and 156,365.40

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Solution

The fourth proportional to 277,229.40, 382,534.14 and 156,365.40 is: 215,760.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,229.40 : 382,534.14 = 156,365.40 : x
  2. Step 2: Convert to fraction form
    277,229.40/382,534.14 = 156,365.40/x
  3. Step 3: Cross multiply
    277,229.40x = 382,534.14 × 156,365.40
  4. Step 4: Simplify right side
    277,229.40x = 59,815,103,814.76
  5. Step 5: Solve for x
    x = 59,815,103,814.76/277,229.40
  6. Step 6: Final answer
    x = 215,760.32

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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.