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Finding the Fourth Proportional to 264,823.72, 365,574.54 and 157,428.52

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Solution

The fourth proportional to 264,823.72, 365,574.54 and 157,428.52 is: 217,321.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,823.72 : 365,574.54 = 157,428.52 : x
  2. Step 2: Convert to fraction form
    264,823.72/365,574.54 = 157,428.52/x
  3. Step 3: Cross multiply
    264,823.72x = 365,574.54 × 157,428.52
  4. Step 4: Simplify right side
    264,823.72x = 57,551,858,781.88
  5. Step 5: Solve for x
    x = 57,551,858,781.88/264,823.72
  6. Step 6: Final answer
    x = 217,321.39

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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.