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Finding the Fourth Proportional to 206,975.56, 310,166.70 and 118,045

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Solution

The fourth proportional to 206,975.56, 310,166.70 and 118,045 is: 176,898.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,975.56 : 310,166.70 = 118,045 : x
  2. Step 2: Convert to fraction form
    206,975.56/310,166.70 = 118,045/x
  3. Step 3: Cross multiply
    206,975.56x = 310,166.70 × 118,045
  4. Step 4: Simplify right side
    206,975.56x = 36,613,628,101.50
  5. Step 5: Solve for x
    x = 36,613,628,101.50/206,975.56
  6. Step 6: Final answer
    x = 176,898.32

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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.