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Finding the Fourth Proportional to 242,633.76, 363,704.40 and 92,835.60

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Solution

The fourth proportional to 242,633.76, 363,704.40 and 92,835.60 is: 139,159.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,633.76 : 363,704.40 = 92,835.60 : x
  2. Step 2: Convert to fraction form
    242,633.76/363,704.40 = 92,835.60/x
  3. Step 3: Cross multiply
    242,633.76x = 363,704.40 × 92,835.60
  4. Step 4: Simplify right side
    242,633.76x = 33,764,716,196.64
  5. Step 5: Solve for x
    x = 33,764,716,196.64/242,633.76
  6. Step 6: Final answer
    x = 139,159.18

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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.