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Finding the Fourth Proportional to 209,997.69, 289,790.51 and 114,506.25

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Solution

The fourth proportional to 209,997.69, 289,790.51 and 114,506.25 is: 158,015.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,997.69 : 289,790.51 = 114,506.25 : x
  2. Step 2: Convert to fraction form
    209,997.69/289,790.51 = 114,506.25/x
  3. Step 3: Cross multiply
    209,997.69x = 289,790.51 × 114,506.25
  4. Step 4: Simplify right side
    209,997.69x = 33,182,824,013.16
  5. Step 5: Solve for x
    x = 33,182,824,013.16/209,997.69
  6. Step 6: Final answer
    x = 158,015.19

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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.