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Finding the Fourth Proportional to 203,127.84, 280,315.68 and 113,703.84

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Solution

The fourth proportional to 203,127.84, 280,315.68 and 113,703.84 is: 156,910.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,127.84 : 280,315.68 = 113,703.84 : x
  2. Step 2: Convert to fraction form
    203,127.84/280,315.68 = 113,703.84/x
  3. Step 3: Cross multiply
    203,127.84x = 280,315.68 × 113,703.84
  4. Step 4: Simplify right side
    203,127.84x = 31,872,969,228.21
  5. Step 5: Solve for x
    x = 31,872,969,228.21/203,127.84
  6. Step 6: Final answer
    x = 156,910.89

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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.