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Finding the Fourth Proportional to 133,497.16, 200,252.40 and 39,994

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Solution

The fourth proportional to 133,497.16, 200,252.40 and 39,994 is: 59,993.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,497.16 : 200,252.40 = 39,994 : x
  2. Step 2: Convert to fraction form
    133,497.16/200,252.40 = 39,994/x
  3. Step 3: Cross multiply
    133,497.16x = 200,252.40 × 39,994
  4. Step 4: Simplify right side
    133,497.16x = 8,008,894,485.60
  5. Step 5: Solve for x
    x = 8,008,894,485.60/133,497.16
  6. Step 6: Final answer
    x = 59,993.00

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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.