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Finding the Fourth Proportional to 188,706.43, 260,372.11 and 137,746.93

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Solution

The fourth proportional to 188,706.43, 260,372.11 and 137,746.93 is: 190,059.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,706.43 : 260,372.11 = 137,746.93 : x
  2. Step 2: Convert to fraction form
    188,706.43/260,372.11 = 137,746.93/x
  3. Step 3: Cross multiply
    188,706.43x = 260,372.11 × 137,746.93
  4. Step 4: Simplify right side
    188,706.43x = 35,865,458,810.12
  5. Step 5: Solve for x
    x = 35,865,458,810.12/188,706.43
  6. Step 6: Final answer
    x = 190,059.55

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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.