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Finding the Fourth Proportional to 242,225.32, 363,215.86 and 73,713.32

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Solution

The fourth proportional to 242,225.32, 363,215.86 and 73,713.32 is: 110,532.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,225.32 : 363,215.86 = 73,713.32 : x
  2. Step 2: Convert to fraction form
    242,225.32/363,215.86 = 73,713.32/x
  3. Step 3: Cross multiply
    242,225.32x = 363,215.86 × 73,713.32
  4. Step 4: Simplify right side
    242,225.32x = 26,773,846,917.26
  5. Step 5: Solve for x
    x = 26,773,846,917.26/242,225.32
  6. Step 6: Final answer
    x = 110,532.82

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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.