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Finding the Fourth Proportional to 201,057.84, 277,482 and 115,024.80

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Solution

The fourth proportional to 201,057.84, 277,482 and 115,024.80 is: 158,746.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,057.84 : 277,482 = 115,024.80 : x
  2. Step 2: Convert to fraction form
    201,057.84/277,482 = 115,024.80/x
  3. Step 3: Cross multiply
    201,057.84x = 277,482 × 115,024.80
  4. Step 4: Simplify right side
    201,057.84x = 31,917,311,553.60
  5. Step 5: Solve for x
    x = 31,917,311,553.60/201,057.84
  6. Step 6: Final answer
    x = 158,746.91

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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.