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Finding the Fourth Proportional to 188,351.10, 259,746.14 and 123,706.58

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Solution

The fourth proportional to 188,351.10, 259,746.14 and 123,706.58 is: 170,597.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,351.10 : 259,746.14 = 123,706.58 : x
  2. Step 2: Convert to fraction form
    188,351.10/259,746.14 = 123,706.58/x
  3. Step 3: Cross multiply
    188,351.10x = 259,746.14 × 123,706.58
  4. Step 4: Simplify right side
    188,351.10x = 32,132,304,730.34
  5. Step 5: Solve for x
    x = 32,132,304,730.34/188,351.10
  6. Step 6: Final answer
    x = 170,597.91

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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.