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Finding the Fourth Proportional to 271,765, 375,023.12 and 150,913.95

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Solution

The fourth proportional to 271,765, 375,023.12 and 150,913.95 is: 208,254.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,765 : 375,023.12 = 150,913.95 : x
  2. Step 2: Convert to fraction form
    271,765/375,023.12 = 150,913.95/x
  3. Step 3: Cross multiply
    271,765x = 375,023.12 × 150,913.95
  4. Step 4: Simplify right side
    271,765x = 56,596,217,750.84
  5. Step 5: Solve for x
    x = 56,596,217,750.84/271,765
  6. Step 6: Final answer
    x = 208,254.26

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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.