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Finding the Fourth Proportional to 277,180.58, 382,510.13 and 149,857.08

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Solution

The fourth proportional to 277,180.58, 382,510.13 and 149,857.08 is: 206,803.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,180.58 : 382,510.13 = 149,857.08 : x
  2. Step 2: Convert to fraction form
    277,180.58/382,510.13 = 149,857.08/x
  3. Step 3: Cross multiply
    277,180.58x = 382,510.13 × 149,857.08
  4. Step 4: Simplify right side
    277,180.58x = 57,321,851,152.22
  5. Step 5: Solve for x
    x = 57,321,851,152.22/277,180.58
  6. Step 6: Final answer
    x = 206,803.27

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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.