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Finding the Fourth Proportional to 242,293.36, 363,262.64 and 114,166

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Solution

The fourth proportional to 242,293.36, 363,262.64 and 114,166 is: 171,165.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,293.36 : 363,262.64 = 114,166 : x
  2. Step 2: Convert to fraction form
    242,293.36/363,262.64 = 114,166/x
  3. Step 3: Cross multiply
    242,293.36x = 363,262.64 × 114,166
  4. Step 4: Simplify right side
    242,293.36x = 41,472,242,558.24
  5. Step 5: Solve for x
    x = 41,472,242,558.24/242,293.36
  6. Step 6: Final answer
    x = 171,165.41

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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.