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Finding the Fourth Proportional to 200,193.76, 276,223.56 and 119,609.20

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Solution

The fourth proportional to 200,193.76, 276,223.56 and 119,609.20 is: 165,034.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,193.76 : 276,223.56 = 119,609.20 : x
  2. Step 2: Convert to fraction form
    200,193.76/276,223.56 = 119,609.20/x
  3. Step 3: Cross multiply
    200,193.76x = 276,223.56 × 119,609.20
  4. Step 4: Simplify right side
    200,193.76x = 33,038,879,032.75
  5. Step 5: Solve for x
    x = 33,038,879,032.75/200,193.76
  6. Step 6: Final answer
    x = 165,034.51

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1.5x scale

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.