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Finding the Fourth Proportional to 277,689.34, 383,203.59 and 164,512.09

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Solution

The fourth proportional to 277,689.34, 383,203.59 and 164,512.09 is: 227,022.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,689.34 : 383,203.59 = 164,512.09 : x
  2. Step 2: Convert to fraction form
    277,689.34/383,203.59 = 164,512.09/x
  3. Step 3: Cross multiply
    277,689.34x = 383,203.59 × 164,512.09
  4. Step 4: Simplify right side
    277,689.34x = 63,041,622,663.84
  5. Step 5: Solve for x
    x = 63,041,622,663.84/277,689.34
  6. Step 6: Final answer
    x = 227,022.12

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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.