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Finding the Fourth Proportional to 202,956.87, 304,429.01 and 96,417.50

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Solution

The fourth proportional to 202,956.87, 304,429.01 and 96,417.50 is: 144,623.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,956.87 : 304,429.01 = 96,417.50 : x
  2. Step 2: Convert to fraction form
    202,956.87/304,429.01 = 96,417.50/x
  3. Step 3: Cross multiply
    202,956.87x = 304,429.01 × 96,417.50
  4. Step 4: Simplify right side
    202,956.87x = 29,352,282,067.44
  5. Step 5: Solve for x
    x = 29,352,282,067.44/202,956.87
  6. Step 6: Final answer
    x = 144,623.25

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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.