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Finding the Fourth Proportional to 277,513.59, 382,969.91 and 150,189.17

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Solution

The fourth proportional to 277,513.59, 382,969.91 and 150,189.17 is: 207,261.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,513.59 : 382,969.91 = 150,189.17 : x
  2. Step 2: Convert to fraction form
    277,513.59/382,969.91 = 150,189.17/x
  3. Step 3: Cross multiply
    277,513.59x = 382,969.91 × 150,189.17
  4. Step 4: Simplify right side
    277,513.59x = 57,517,932,166.93
  5. Step 5: Solve for x
    x = 57,517,932,166.93/277,513.59
  6. Step 6: Final answer
    x = 207,261.68

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.