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Finding the Fourth Proportional to 209,991.69, 289,794.51 and 114,503.63

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Solution

The fourth proportional to 209,991.69, 289,794.51 and 114,503.63 is: 158,018.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,991.69 : 289,794.51 = 114,503.63 : x
  2. Step 2: Convert to fraction form
    209,991.69/289,794.51 = 114,503.63/x
  3. Step 3: Cross multiply
    209,991.69x = 289,794.51 × 114,503.63
  4. Step 4: Simplify right side
    209,991.69x = 33,182,521,900.10
  5. Step 5: Solve for x
    x = 33,182,521,900.10/209,991.69
  6. Step 6: Final answer
    x = 158,018.26

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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.