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Finding the Fourth Proportional to 242,136, 363,147.84 and 92,322.72

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Solution

The fourth proportional to 242,136, 363,147.84 and 92,322.72 is: 138,462.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,136 : 363,147.84 = 92,322.72 : x
  2. Step 2: Convert to fraction form
    242,136/363,147.84 = 92,322.72/x
  3. Step 3: Cross multiply
    242,136x = 363,147.84 × 92,322.72
  4. Step 4: Simplify right side
    242,136x = 33,526,796,350.92
  5. Step 5: Solve for x
    x = 33,526,796,350.92/242,136
  6. Step 6: Final answer
    x = 138,462.67

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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.