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Finding the Fourth Proportional to 202,886.73, 304,270.64 and 76,435.74

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Solution

The fourth proportional to 202,886.73, 304,270.64 and 76,435.74 is: 114,631.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,886.73 : 304,270.64 = 76,435.74 : x
  2. Step 2: Convert to fraction form
    202,886.73/304,270.64 = 76,435.74/x
  3. Step 3: Cross multiply
    202,886.73x = 304,270.64 × 76,435.74
  4. Step 4: Simplify right side
    202,886.73x = 23,257,151,146.49
  5. Step 5: Solve for x
    x = 23,257,151,146.49/202,886.73
  6. Step 6: Final answer
    x = 114,631.21

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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.