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Finding the Fourth Proportional to 158,573.58, 218,946.34 and 102,083.36

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Solution

The fourth proportional to 158,573.58, 218,946.34 and 102,083.36 is: 140,948.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,573.58 : 218,946.34 = 102,083.36 : x
  2. Step 2: Convert to fraction form
    158,573.58/218,946.34 = 102,083.36/x
  3. Step 3: Cross multiply
    158,573.58x = 218,946.34 × 102,083.36
  4. Step 4: Simplify right side
    158,573.58x = 22,350,778,046.90
  5. Step 5: Solve for x
    x = 22,350,778,046.90/158,573.58
  6. Step 6: Final answer
    x = 140,948.94

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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.