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Finding the Fourth Proportional to 242,814.40, 364,027.20 and 102,457.60

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Solution

The fourth proportional to 242,814.40, 364,027.20 and 102,457.60 is: 153,604.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,814.40 : 364,027.20 = 102,457.60 : x
  2. Step 2: Convert to fraction form
    242,814.40/364,027.20 = 102,457.60/x
  3. Step 3: Cross multiply
    242,814.40x = 364,027.20 × 102,457.60
  4. Step 4: Simplify right side
    242,814.40x = 37,297,353,246.72
  5. Step 5: Solve for x
    x = 37,297,353,246.72/242,814.40
  6. Step 6: Final answer
    x = 153,604.37

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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.