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Finding the Fourth Proportional to 206,048.36, 309,072.54 and 112,503.08

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Solution

The fourth proportional to 206,048.36, 309,072.54 and 112,503.08 is: 168,754.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,048.36 : 309,072.54 = 112,503.08 : x
  2. Step 2: Convert to fraction form
    206,048.36/309,072.54 = 112,503.08/x
  3. Step 3: Cross multiply
    206,048.36x = 309,072.54 × 112,503.08
  4. Step 4: Simplify right side
    206,048.36x = 34,771,612,693.42
  5. Step 5: Solve for x
    x = 34,771,612,693.42/206,048.36
  6. Step 6: Final answer
    x = 168,754.62

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1.5x scale

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.