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Finding the Fourth Proportional to 209,887.83, 289,651.32 and 114,400.71

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Solution

The fourth proportional to 209,887.83, 289,651.32 and 114,400.71 is: 157,876.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,887.83 : 289,651.32 = 114,400.71 : x
  2. Step 2: Convert to fraction form
    209,887.83/289,651.32 = 114,400.71/x
  3. Step 3: Cross multiply
    209,887.83x = 289,651.32 × 114,400.71
  4. Step 4: Simplify right side
    209,887.83x = 33,136,316,660.44
  5. Step 5: Solve for x
    x = 33,136,316,660.44/209,887.83
  6. Step 6: Final answer
    x = 157,876.31

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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.