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Finding the Fourth Proportional to 242,529.63, 363,777.51 and 90,697.82

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Solution

The fourth proportional to 242,529.63, 363,777.51 and 90,697.82 is: 136,040.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,529.63 : 363,777.51 = 90,697.82 : x
  2. Step 2: Convert to fraction form
    242,529.63/363,777.51 = 90,697.82/x
  3. Step 3: Cross multiply
    242,529.63x = 363,777.51 × 90,697.82
  4. Step 4: Simplify right side
    242,529.63x = 32,993,826,212.58
  5. Step 5: Solve for x
    x = 32,993,826,212.58/242,529.63
  6. Step 6: Final answer
    x = 136,040.39

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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.