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Finding the Fourth Proportional to 188,590.36, 260,256.54 and 103,708

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Solution

The fourth proportional to 188,590.36, 260,256.54 and 103,708 is: 143,118.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,590.36 : 260,256.54 = 103,708 : x
  2. Step 2: Convert to fraction form
    188,590.36/260,256.54 = 103,708/x
  3. Step 3: Cross multiply
    188,590.36x = 260,256.54 × 103,708
  4. Step 4: Simplify right side
    188,590.36x = 26,990,685,250.32
  5. Step 5: Solve for x
    x = 26,990,685,250.32/188,590.36
  6. Step 6: Final answer
    x = 143,118.05

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.