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Finding the Fourth Proportional to 242,101.31, 363,210.32 and 75,889.31

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Solution

The fourth proportional to 242,101.31, 363,210.32 and 75,889.31 is: 113,852.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,101.31 : 363,210.32 = 75,889.31 : x
  2. Step 2: Convert to fraction form
    242,101.31/363,210.32 = 75,889.31/x
  3. Step 3: Cross multiply
    242,101.31x = 363,210.32 × 75,889.31
  4. Step 4: Simplify right side
    242,101.31x = 27,563,781,667.43
  5. Step 5: Solve for x
    x = 27,563,781,667.43/242,101.31
  6. Step 6: Final answer
    x = 113,852.26

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