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Finding the Fourth Proportional to 201,035.87, 277,458.54 and 120,470.90

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Solution

The fourth proportional to 201,035.87, 277,458.54 and 120,470.90 is: 166,267.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,035.87 : 277,458.54 = 120,470.90 : x
  2. Step 2: Convert to fraction form
    201,035.87/277,458.54 = 120,470.90/x
  3. Step 3: Cross multiply
    201,035.87x = 277,458.54 × 120,470.90
  4. Step 4: Simplify right side
    201,035.87x = 33,425,678,526.25
  5. Step 5: Solve for x
    x = 33,425,678,526.25/201,035.87
  6. Step 6: Final answer
    x = 166,267.23

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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.