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Finding the Fourth Proportional to 206,774.64, 309,911.58 and 94,300.74

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Solution

The fourth proportional to 206,774.64, 309,911.58 and 94,300.74 is: 141,336.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,774.64 : 309,911.58 = 94,300.74 : x
  2. Step 2: Convert to fraction form
    206,774.64/309,911.58 = 94,300.74/x
  3. Step 3: Cross multiply
    206,774.64x = 309,911.58 × 94,300.74
  4. Step 4: Simplify right side
    206,774.64x = 29,224,891,328.57
  5. Step 5: Solve for x
    x = 29,224,891,328.57/206,774.64
  6. Step 6: Final answer
    x = 141,336.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.