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Finding the Fourth Proportional to 209,752.33, 289,456.73 and 114,259.02

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Solution

The fourth proportional to 209,752.33, 289,456.73 and 114,259.02 is: 157,676.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,752.33 : 289,456.73 = 114,259.02 : x
  2. Step 2: Convert to fraction form
    209,752.33/289,456.73 = 114,259.02/x
  3. Step 3: Cross multiply
    209,752.33x = 289,456.73 × 114,259.02
  4. Step 4: Simplify right side
    209,752.33x = 33,073,041,730.91
  5. Step 5: Solve for x
    x = 33,073,041,730.91/209,752.33
  6. Step 6: Final answer
    x = 157,676.64

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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.