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Finding the Fourth Proportional to 242,214.93, 363,359.30 and 123,846.30

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Solution

The fourth proportional to 242,214.93, 363,359.30 and 123,846.30 is: 185,788.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,214.93 : 363,359.30 = 123,846.30 : x
  2. Step 2: Convert to fraction form
    242,214.93/363,359.30 = 123,846.30/x
  3. Step 3: Cross multiply
    242,214.93x = 363,359.30 × 123,846.30
  4. Step 4: Simplify right side
    242,214.93x = 45,000,704,256.36
  5. Step 5: Solve for x
    x = 45,000,704,256.36/242,214.93
  6. Step 6: Final answer
    x = 185,788.32

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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.