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Finding the Fourth Proportional to 133,095.90, 183,664.58 and 72,654.50

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Solution

The fourth proportional to 133,095.90, 183,664.58 and 72,654.50 is: 100,258.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,095.90 : 183,664.58 = 72,654.50 : x
  2. Step 2: Convert to fraction form
    133,095.90/183,664.58 = 72,654.50/x
  3. Step 3: Cross multiply
    133,095.90x = 183,664.58 × 72,654.50
  4. Step 4: Simplify right side
    133,095.90x = 13,344,058,227.61
  5. Step 5: Solve for x
    x = 13,344,058,227.61/133,095.90
  6. Step 6: Final answer
    x = 100,258.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.