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Finding the Fourth Proportional to 242,999.28, 364,509.90 and 74,507.31

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Solution

The fourth proportional to 242,999.28, 364,509.90 and 74,507.31 is: 111,764.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,999.28 : 364,509.90 = 74,507.31 : x
  2. Step 2: Convert to fraction form
    242,999.28/364,509.90 = 74,507.31/x
  3. Step 3: Cross multiply
    242,999.28x = 364,509.90 × 74,507.31
  4. Step 4: Simplify right side
    242,999.28x = 27,158,652,117.37
  5. Step 5: Solve for x
    x = 27,158,652,117.37/242,999.28
  6. Step 6: Final answer
    x = 111,764.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.