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Finding the Fourth Proportional to 242,465.25, 363,689.37 and 73,978.77

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Solution

The fourth proportional to 242,465.25, 363,689.37 and 73,978.77 is: 110,965.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,465.25 : 363,689.37 = 73,978.77 : x
  2. Step 2: Convert to fraction form
    242,465.25/363,689.37 = 73,978.77/x
  3. Step 3: Cross multiply
    242,465.25x = 363,689.37 × 73,978.77
  4. Step 4: Simplify right side
    242,465.25x = 26,905,292,254.67
  5. Step 5: Solve for x
    x = 26,905,292,254.67/242,465.25
  6. Step 6: Final answer
    x = 110,965.56

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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.