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Finding the Fourth Proportional to 264,996.36, 365,574.36 and 157,505.31

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Solution

The fourth proportional to 264,996.36, 365,574.36 and 157,505.31 is: 217,285.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,996.36 : 365,574.36 = 157,505.31 : x
  2. Step 2: Convert to fraction form
    264,996.36/365,574.36 = 157,505.31/x
  3. Step 3: Cross multiply
    264,996.36x = 365,574.36 × 157,505.31
  4. Step 4: Simplify right side
    264,996.36x = 57,579,903,490.50
  5. Step 5: Solve for x
    x = 57,579,903,490.50/264,996.36
  6. Step 6: Final answer
    x = 217,285.64

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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.