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Finding the Fourth Proportional to 209,849.83, 289,592.82 and 114,356.54

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Solution

The fourth proportional to 209,849.83, 289,592.82 and 114,356.54 is: 157,812.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,849.83 : 289,592.82 = 114,356.54 : x
  2. Step 2: Convert to fraction form
    209,849.83/289,592.82 = 114,356.54/x
  3. Step 3: Cross multiply
    209,849.83x = 289,592.82 × 114,356.54
  4. Step 4: Simplify right side
    209,849.83x = 33,116,833,628.02
  5. Step 5: Solve for x
    x = 33,116,833,628.02/209,849.83
  6. Step 6: Final answer
    x = 157,812.06

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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.