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Finding the Fourth Proportional to 201,744.27, 278,440.34 and 153,907.29

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Solution

The fourth proportional to 201,744.27, 278,440.34 and 153,907.29 is: 212,417.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,744.27 : 278,440.34 = 153,907.29 : x
  2. Step 2: Convert to fraction form
    201,744.27/278,440.34 = 153,907.29/x
  3. Step 3: Cross multiply
    201,744.27x = 278,440.34 × 153,907.29
  4. Step 4: Simplify right side
    201,744.27x = 42,853,997,386.54
  5. Step 5: Solve for x
    x = 42,853,997,386.54/201,744.27
  6. Step 6: Final answer
    x = 212,417.42

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.