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Finding the Fourth Proportional to 202,719.45, 304,230.65 and 76,484.19

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Solution

The fourth proportional to 202,719.45, 304,230.65 and 76,484.19 is: 114,783.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,719.45 : 304,230.65 = 76,484.19 : x
  2. Step 2: Convert to fraction form
    202,719.45/304,230.65 = 76,484.19/x
  3. Step 3: Cross multiply
    202,719.45x = 304,230.65 × 76,484.19
  4. Step 4: Simplify right side
    202,719.45x = 23,268,834,456.00
  5. Step 5: Solve for x
    x = 23,268,834,456.00/202,719.45
  6. Step 6: Final answer
    x = 114,783.43

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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.