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Finding the Fourth Proportional to 206,358, 284,774.16 and 121,527.36

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Solution

The fourth proportional to 206,358, 284,774.16 and 121,527.36 is: 167,707.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,358 : 284,774.16 = 121,527.36 : x
  2. Step 2: Convert to fraction form
    206,358/284,774.16 = 121,527.36/x
  3. Step 3: Cross multiply
    206,358x = 284,774.16 × 121,527.36
  4. Step 4: Simplify right side
    206,358x = 34,607,851,861.02
  5. Step 5: Solve for x
    x = 34,607,851,861.02/206,358
  6. Step 6: Final answer
    x = 167,707.83

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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.