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Finding the Fourth Proportional to 264,490.95, 365,109.25 and 178,566.32

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Solution

The fourth proportional to 264,490.95, 365,109.25 and 178,566.32 is: 246,496.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,490.95 : 365,109.25 = 178,566.32 : x
  2. Step 2: Convert to fraction form
    264,490.95/365,109.25 = 178,566.32/x
  3. Step 3: Cross multiply
    264,490.95x = 365,109.25 × 178,566.32
  4. Step 4: Simplify right side
    264,490.95x = 65,196,216,034.41
  5. Step 5: Solve for x
    x = 65,196,216,034.41/264,490.95
  6. Step 6: Final answer
    x = 246,496.97

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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.