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Finding the Fourth Proportional to 209,602.52, 289,242.38 and 114,109.54

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Solution

The fourth proportional to 209,602.52, 289,242.38 and 114,109.54 is: 157,466.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,602.52 : 289,242.38 = 114,109.54 : x
  2. Step 2: Convert to fraction form
    209,602.52/289,242.38 = 114,109.54/x
  3. Step 3: Cross multiply
    209,602.52x = 289,242.38 × 114,109.54
  4. Step 4: Simplify right side
    209,602.52x = 33,005,314,930.31
  5. Step 5: Solve for x
    x = 33,005,314,930.31/209,602.52
  6. Step 6: Final answer
    x = 157,466.21

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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.