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Finding the Fourth Proportional to 209,663.56, 289,325.82 and 114,169.96

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Solution

The fourth proportional to 209,663.56, 289,325.82 and 114,169.96 is: 157,549.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,663.56 : 289,325.82 = 114,169.96 : x
  2. Step 2: Convert to fraction form
    209,663.56/289,325.82 = 114,169.96/x
  3. Step 3: Cross multiply
    209,663.56x = 289,325.82 × 114,169.96
  4. Step 4: Simplify right side
    209,663.56x = 33,032,317,296.37
  5. Step 5: Solve for x
    x = 33,032,317,296.37/209,663.56
  6. Step 6: Final answer
    x = 157,549.16

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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.