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Finding the Fourth Proportional to 277,263.52, 382,605.84 and 158,023.84

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Solution

The fourth proportional to 277,263.52, 382,605.84 and 158,023.84 is: 218,062.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,263.52 : 382,605.84 = 158,023.84 : x
  2. Step 2: Convert to fraction form
    277,263.52/382,605.84 = 158,023.84/x
  3. Step 3: Cross multiply
    277,263.52x = 382,605.84 × 158,023.84
  4. Step 4: Simplify right side
    277,263.52x = 60,460,844,043.23
  5. Step 5: Solve for x
    x = 60,460,844,043.23/277,263.52
  6. Step 6: Final answer
    x = 218,062.74

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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.