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Finding the Fourth Proportional to 209,702.27, 289,392.43 and 114,208.89

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Solution

The fourth proportional to 209,702.27, 289,392.43 and 114,208.89 is: 157,610.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,702.27 : 289,392.43 = 114,208.89 : x
  2. Step 2: Convert to fraction form
    209,702.27/289,392.43 = 114,208.89/x
  3. Step 3: Cross multiply
    209,702.27x = 289,392.43 × 114,208.89
  4. Step 4: Simplify right side
    209,702.27x = 33,051,187,919.18
  5. Step 5: Solve for x
    x = 33,051,187,919.18/209,702.27
  6. Step 6: Final answer
    x = 157,610.06

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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.