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Finding the Fourth Proportional to 188,469, 260,087.22 and 103,586.06

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Solution

The fourth proportional to 188,469, 260,087.22 and 103,586.06 is: 142,948.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,469 : 260,087.22 = 103,586.06 : x
  2. Step 2: Convert to fraction form
    188,469/260,087.22 = 103,586.06/x
  3. Step 3: Cross multiply
    188,469x = 260,087.22 × 103,586.06
  4. Step 4: Simplify right side
    188,469x = 26,941,411,026.37
  5. Step 5: Solve for x
    x = 26,941,411,026.37/188,469
  6. Step 6: Final answer
    x = 142,948.77

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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.