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Finding the Fourth Proportional to 188,714.16, 260,541.90 and 129,879

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Solution

The fourth proportional to 188,714.16, 260,541.90 and 129,879 is: 179,313.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,714.16 : 260,541.90 = 129,879 : x
  2. Step 2: Convert to fraction form
    188,714.16/260,541.90 = 129,879/x
  3. Step 3: Cross multiply
    188,714.16x = 260,541.90 × 129,879
  4. Step 4: Simplify right side
    188,714.16x = 33,838,921,430.10
  5. Step 5: Solve for x
    x = 33,838,921,430.10/188,714.16
  6. Step 6: Final answer
    x = 179,313.10

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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.