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Finding the Fourth Proportional to 133,974, 200,900.79 and 96,376.50

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Solution

The fourth proportional to 133,974, 200,900.79 and 96,376.50 is: 144,521.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,974 : 200,900.79 = 96,376.50 : x
  2. Step 2: Convert to fraction form
    133,974/200,900.79 = 96,376.50/x
  3. Step 3: Cross multiply
    133,974x = 200,900.79 × 96,376.50
  4. Step 4: Simplify right side
    133,974x = 19,362,114,987.44
  5. Step 5: Solve for x
    x = 19,362,114,987.44/133,974
  6. Step 6: Final answer
    x = 144,521.44

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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.