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Finding the Fourth Proportional to 169,137, 233,409.06 and 102,069

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Solution

The fourth proportional to 169,137, 233,409.06 and 102,069 is: 140,855.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,137 : 233,409.06 = 102,069 : x
  2. Step 2: Convert to fraction form
    169,137/233,409.06 = 102,069/x
  3. Step 3: Cross multiply
    169,137x = 233,409.06 × 102,069
  4. Step 4: Simplify right side
    169,137x = 23,823,829,345.14
  5. Step 5: Solve for x
    x = 23,823,829,345.14/169,137
  6. Step 6: Final answer
    x = 140,855.22

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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.