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Finding the Fourth Proportional to 202,719.95, 304,231.40 and 76,484.69

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Solution

The fourth proportional to 202,719.95, 304,231.40 and 76,484.69 is: 114,784.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,719.95 : 304,231.40 = 76,484.69 : x
  2. Step 2: Convert to fraction form
    202,719.95/304,231.40 = 76,484.69/x
  3. Step 3: Cross multiply
    202,719.95x = 304,231.40 × 76,484.69
  4. Step 4: Simplify right side
    202,719.95x = 23,269,043,934.84
  5. Step 5: Solve for x
    x = 23,269,043,934.84/202,719.95
  6. Step 6: Final answer
    x = 114,784.18

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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.