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Finding the Fourth Proportional to 242,041.96, 363,014.97 and 230,039.83

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Solution

The fourth proportional to 242,041.96, 363,014.97 and 230,039.83 is: 345,014.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,041.96 : 363,014.97 = 230,039.83 : x
  2. Step 2: Convert to fraction form
    242,041.96/363,014.97 = 230,039.83/x
  3. Step 3: Cross multiply
    242,041.96x = 363,014.97 × 230,039.83
  4. Step 4: Simplify right side
    242,041.96x = 83,507,901,986.26
  5. Step 5: Solve for x
    x = 83,507,901,986.26/242,041.96
  6. Step 6: Final answer
    x = 345,014.15

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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.