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Finding the Fourth Proportional to 237,114.66, 327,068.64 and 165,468.54

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Solution

The fourth proportional to 237,114.66, 327,068.64 and 165,468.54 is: 228,242.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,114.66 : 327,068.64 = 165,468.54 : x
  2. Step 2: Convert to fraction form
    237,114.66/327,068.64 = 165,468.54/x
  3. Step 3: Cross multiply
    237,114.66x = 327,068.64 × 165,468.54
  4. Step 4: Simplify right side
    237,114.66x = 54,119,570,340.59
  5. Step 5: Solve for x
    x = 54,119,570,340.59/237,114.66
  6. Step 6: Final answer
    x = 228,242.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.