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Finding the Fourth Proportional to 277,463.63, 382,900.82 and 150,139.22

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Solution

The fourth proportional to 277,463.63, 382,900.82 and 150,139.22 is: 207,192.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,463.63 : 382,900.82 = 150,139.22 : x
  2. Step 2: Convert to fraction form
    277,463.63/382,900.82 = 150,139.22/x
  3. Step 3: Cross multiply
    277,463.63x = 382,900.82 × 150,139.22
  4. Step 4: Simplify right side
    277,463.63x = 57,488,430,785.31
  5. Step 5: Solve for x
    x = 57,488,430,785.31/277,463.63
  6. Step 6: Final answer
    x = 207,192.67

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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.