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Finding the Fourth Proportional to 277,201.12, 382,537.50 and 156,342.16

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Solution

The fourth proportional to 277,201.12, 382,537.50 and 156,342.16 is: 215,752.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,201.12 : 382,537.50 = 156,342.16 : x
  2. Step 2: Convert to fraction form
    277,201.12/382,537.50 = 156,342.16/x
  3. Step 3: Cross multiply
    277,201.12x = 382,537.50 × 156,342.16
  4. Step 4: Simplify right side
    277,201.12x = 59,806,739,031
  5. Step 5: Solve for x
    x = 59,806,739,031/277,201.12
  6. Step 6: Final answer
    x = 215,752.16

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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.