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Finding the Fourth Proportional to 277,514.48, 382,971.20 and 150,190.12

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Solution

The fourth proportional to 277,514.48, 382,971.20 and 150,190.12 is: 207,263.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,514.48 : 382,971.20 = 150,190.12 : x
  2. Step 2: Convert to fraction form
    277,514.48/382,971.20 = 150,190.12/x
  3. Step 3: Cross multiply
    277,514.48x = 382,971.20 × 150,190.12
  4. Step 4: Simplify right side
    277,514.48x = 57,518,490,484.54
  5. Step 5: Solve for x
    x = 57,518,490,484.54/277,514.48
  6. Step 6: Final answer
    x = 207,263.02

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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.