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Finding the Fourth Proportional to 202,724.08, 304,237.59 and 76,488.82

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Solution

The fourth proportional to 202,724.08, 304,237.59 and 76,488.82 is: 114,790.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,724.08 : 304,237.59 = 76,488.82 : x
  2. Step 2: Convert to fraction form
    202,724.08/304,237.59 = 76,488.82/x
  3. Step 3: Cross multiply
    202,724.08x = 304,237.59 × 76,488.82
  4. Step 4: Simplify right side
    202,724.08x = 23,270,772,355.11
  5. Step 5: Solve for x
    x = 23,270,772,355.11/202,724.08
  6. Step 6: Final answer
    x = 114,790.37

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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.