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Finding the Fourth Proportional to 264,889.17, 365,544.29 and 197,208.81

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Solution

The fourth proportional to 264,889.17, 365,544.29 and 197,208.81 is: 272,146.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,889.17 : 365,544.29 = 197,208.81 : x
  2. Step 2: Convert to fraction form
    264,889.17/365,544.29 = 197,208.81/x
  3. Step 3: Cross multiply
    264,889.17x = 365,544.29 × 197,208.81
  4. Step 4: Simplify right side
    264,889.17x = 72,088,553,447.15
  5. Step 5: Solve for x
    x = 72,088,553,447.15/264,889.17
  6. Step 6: Final answer
    x = 272,146.10

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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.