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Finding the Fourth Proportional to 277,138.76, 382,448.66 and 154,632.20

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Solution

The fourth proportional to 277,138.76, 382,448.66 and 154,632.20 is: 213,390.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,138.76 : 382,448.66 = 154,632.20 : x
  2. Step 2: Convert to fraction form
    277,138.76/382,448.66 = 154,632.20/x
  3. Step 3: Cross multiply
    277,138.76x = 382,448.66 × 154,632.20
  4. Step 4: Simplify right side
    277,138.76x = 59,138,877,682.85
  5. Step 5: Solve for x
    x = 59,138,877,682.85/277,138.76
  6. Step 6: Final answer
    x = 213,390.86

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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.