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Finding the Fourth Proportional to 188,406.63, 260,001.09 and 103,529.16

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Solution

The fourth proportional to 188,406.63, 260,001.09 and 103,529.16 is: 142,870.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,406.63 : 260,001.09 = 103,529.16 : x
  2. Step 2: Convert to fraction form
    188,406.63/260,001.09 = 103,529.16/x
  3. Step 3: Cross multiply
    188,406.63x = 260,001.09 × 103,529.16
  4. Step 4: Simplify right side
    188,406.63x = 26,917,694,446.78
  5. Step 5: Solve for x
    x = 26,917,694,446.78/188,406.63
  6. Step 6: Final answer
    x = 142,870.21

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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.