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Finding the Fourth Proportional to 202,442.64, 303,848.19 and 107,752.29

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Solution

The fourth proportional to 202,442.64, 303,848.19 and 107,752.29 is: 161,726.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,442.64 : 303,848.19 = 107,752.29 : x
  2. Step 2: Convert to fraction form
    202,442.64/303,848.19 = 107,752.29/x
  3. Step 3: Cross multiply
    202,442.64x = 303,848.19 × 107,752.29
  4. Step 4: Simplify right side
    202,442.64x = 32,740,338,284.86
  5. Step 5: Solve for x
    x = 32,740,338,284.86/202,442.64
  6. Step 6: Final answer
    x = 161,726.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.