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Finding the Fourth Proportional to 202,857.84, 304,461.72 and 78,286.32

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Solution

The fourth proportional to 202,857.84, 304,461.72 and 78,286.32 is: 117,497.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,857.84 : 304,461.72 = 78,286.32 : x
  2. Step 2: Convert to fraction form
    202,857.84/304,461.72 = 78,286.32/x
  3. Step 3: Cross multiply
    202,857.84x = 304,461.72 × 78,286.32
  4. Step 4: Simplify right side
    202,857.84x = 23,835,187,639.67
  5. Step 5: Solve for x
    x = 23,835,187,639.67/202,857.84
  6. Step 6: Final answer
    x = 117,497.00

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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.