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Finding the Fourth Proportional to 270,051.40, 372,678.45 and 149,200.48

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Solution

The fourth proportional to 270,051.40, 372,678.45 and 149,200.48 is: 205,900.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,051.40 : 372,678.45 = 149,200.48 : x
  2. Step 2: Convert to fraction form
    270,051.40/372,678.45 = 149,200.48/x
  3. Step 3: Cross multiply
    270,051.40x = 372,678.45 × 149,200.48
  4. Step 4: Simplify right side
    270,051.40x = 55,603,801,762.26
  5. Step 5: Solve for x
    x = 55,603,801,762.26/270,051.40
  6. Step 6: Final answer
    x = 205,900.81

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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.