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Finding the Fourth Proportional to 277,145.96, 382,461.48 and 149,821.52

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Solution

The fourth proportional to 277,145.96, 382,461.48 and 149,821.52 is: 206,753.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,145.96 : 382,461.48 = 149,821.52 : x
  2. Step 2: Convert to fraction form
    277,145.96/382,461.48 = 149,821.52/x
  3. Step 3: Cross multiply
    277,145.96x = 382,461.48 × 149,821.52
  4. Step 4: Simplify right side
    277,145.96x = 57,300,958,362.74
  5. Step 5: Solve for x
    x = 57,300,958,362.74/277,145.96
  6. Step 6: Final answer
    x = 206,753.72

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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.