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Finding the Fourth Proportional to 277,521.36, 382,980.60 and 150,196.92

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Solution

The fourth proportional to 277,521.36, 382,980.60 and 150,196.92 is: 207,272.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,521.36 : 382,980.60 = 150,196.92 : x
  2. Step 2: Convert to fraction form
    277,521.36/382,980.60 = 150,196.92/x
  3. Step 3: Cross multiply
    277,521.36x = 382,980.60 × 150,196.92
  4. Step 4: Simplify right side
    277,521.36x = 57,522,506,539.75
  5. Step 5: Solve for x
    x = 57,522,506,539.75/277,521.36
  6. Step 6: Final answer
    x = 207,272.36

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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.