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Finding the Fourth Proportional to 209,495.69, 289,110.09 and 114,008.44

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Solution

The fourth proportional to 209,495.69, 289,110.09 and 114,008.44 is: 157,334.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,495.69 : 289,110.09 = 114,008.44 : x
  2. Step 2: Convert to fraction form
    209,495.69/289,110.09 = 114,008.44/x
  3. Step 3: Cross multiply
    209,495.69x = 289,110.09 × 114,008.44
  4. Step 4: Simplify right side
    209,495.69x = 32,960,990,349.16
  5. Step 5: Solve for x
    x = 32,960,990,349.16/209,495.69
  6. Step 6: Final answer
    x = 157,334.93

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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.