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Finding the Fourth Proportional to 209,898.90, 289,666.80 and 114,411.78

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Solution

The fourth proportional to 209,898.90, 289,666.80 and 114,411.78 is: 157,891.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,898.90 : 289,666.80 = 114,411.78 : x
  2. Step 2: Convert to fraction form
    209,898.90/289,666.80 = 114,411.78/x
  3. Step 3: Cross multiply
    209,898.90x = 289,666.80 × 114,411.78
  4. Step 4: Simplify right side
    209,898.90x = 33,141,294,194.90
  5. Step 5: Solve for x
    x = 33,141,294,194.90/209,898.90
  6. Step 6: Final answer
    x = 157,891.70

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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.