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Finding the Fourth Proportional to 228,205.12, 314,934.12 and 126,230.14

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Solution

The fourth proportional to 228,205.12, 314,934.12 and 126,230.14 is: 174,203.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,205.12 : 314,934.12 = 126,230.14 : x
  2. Step 2: Convert to fraction form
    228,205.12/314,934.12 = 126,230.14/x
  3. Step 3: Cross multiply
    228,205.12x = 314,934.12 × 126,230.14
  4. Step 4: Simplify right side
    228,205.12x = 39,754,178,058.38
  5. Step 5: Solve for x
    x = 39,754,178,058.38/228,205.12
  6. Step 6: Final answer
    x = 174,203.71

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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.