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Finding the Fourth Proportional to 188,705.43, 260,370.74 and 137,745.93

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Solution

The fourth proportional to 188,705.43, 260,370.74 and 137,745.93 is: 190,058.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,705.43 : 260,370.74 = 137,745.93 : x
  2. Step 2: Convert to fraction form
    188,705.43/260,370.74 = 137,745.93/x
  3. Step 3: Cross multiply
    188,705.43x = 260,370.74 × 137,745.93
  4. Step 4: Simplify right side
    188,705.43x = 35,865,009,037.36
  5. Step 5: Solve for x
    x = 35,865,009,037.36/188,705.43
  6. Step 6: Final answer
    x = 190,058.17

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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.