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Finding the Fourth Proportional to 242,775.48, 364,163.20 and 102,535.32

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Solution

The fourth proportional to 242,775.48, 364,163.20 and 102,535.32 is: 153,802.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,775.48 : 364,163.20 = 102,535.32 : x
  2. Step 2: Convert to fraction form
    242,775.48/364,163.20 = 102,535.32/x
  3. Step 3: Cross multiply
    242,775.48x = 364,163.20 × 102,535.32
  4. Step 4: Simplify right side
    242,775.48x = 37,339,590,244.22
  5. Step 5: Solve for x
    x = 37,339,590,244.22/242,775.48
  6. Step 6: Final answer
    x = 153,802.97

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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.