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Finding the Fourth Proportional to 133,643.93, 200,252.66 and 97,939.78

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Solution

The fourth proportional to 133,643.93, 200,252.66 and 97,939.78 is: 146,753.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,643.93 : 200,252.66 = 97,939.78 : x
  2. Step 2: Convert to fraction form
    133,643.93/200,252.66 = 97,939.78/x
  3. Step 3: Cross multiply
    133,643.93x = 200,252.66 × 97,939.78
  4. Step 4: Simplify right side
    133,643.93x = 19,612,699,973.85
  5. Step 5: Solve for x
    x = 19,612,699,973.85/133,643.93
  6. Step 6: Final answer
    x = 146,753.39

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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.