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Finding the Fourth Proportional to 206,349.30, 284,740.53 and 121,461.30

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Solution

The fourth proportional to 206,349.30, 284,740.53 and 121,461.30 is: 167,603.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,349.30 : 284,740.53 = 121,461.30 : x
  2. Step 2: Convert to fraction form
    206,349.30/284,740.53 = 121,461.30/x
  3. Step 3: Cross multiply
    206,349.30x = 284,740.53 × 121,461.30
  4. Step 4: Simplify right side
    206,349.30x = 34,584,954,936.49
  5. Step 5: Solve for x
    x = 34,584,954,936.49/206,349.30
  6. Step 6: Final answer
    x = 167,603.94

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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.