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Finding the Fourth Proportional to 209,594, 289,239.24 and 114,101.36

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Solution

The fourth proportional to 209,594, 289,239.24 and 114,101.36 is: 157,459.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,594 : 289,239.24 = 114,101.36 : x
  2. Step 2: Convert to fraction form
    209,594/289,239.24 = 114,101.36/x
  3. Step 3: Cross multiply
    209,594x = 289,239.24 × 114,101.36
  4. Step 4: Simplify right side
    209,594x = 33,002,590,649.37
  5. Step 5: Solve for x
    x = 33,002,590,649.37/209,594
  6. Step 6: Final answer
    x = 157,459.62

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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.