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Finding the Fourth Proportional to 242,530.94, 363,707.64 and 92,697.14

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Solution

The fourth proportional to 242,530.94, 363,707.64 and 92,697.14 is: 139,011.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,530.94 : 363,707.64 = 92,697.14 : x
  2. Step 2: Convert to fraction form
    242,530.94/363,707.64 = 92,697.14/x
  3. Step 3: Cross multiply
    242,530.94x = 363,707.64 × 92,697.14
  4. Step 4: Simplify right side
    242,530.94x = 33,714,658,024.15
  5. Step 5: Solve for x
    x = 33,714,658,024.15/242,530.94
  6. Step 6: Final answer
    x = 139,011.78

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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.