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Finding the Fourth Proportional to 133,258.92, 183,897 and 75,898.23

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Solution

The fourth proportional to 133,258.92, 183,897 and 75,898.23 is: 104,739.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,258.92 : 183,897 = 75,898.23 : x
  2. Step 2: Convert to fraction form
    133,258.92/183,897 = 75,898.23/x
  3. Step 3: Cross multiply
    133,258.92x = 183,897 × 75,898.23
  4. Step 4: Simplify right side
    133,258.92x = 13,957,456,802.31
  5. Step 5: Solve for x
    x = 13,957,456,802.31/133,258.92
  6. Step 6: Final answer
    x = 104,739.38

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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.