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Finding the Fourth Proportional to 259,891.38, 358,650.05 and 146,714.13

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Solution

The fourth proportional to 259,891.38, 358,650.05 and 146,714.13 is: 202,465.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,891.38 : 358,650.05 = 146,714.13 : x
  2. Step 2: Convert to fraction form
    259,891.38/358,650.05 = 146,714.13/x
  3. Step 3: Cross multiply
    259,891.38x = 358,650.05 × 146,714.13
  4. Step 4: Simplify right side
    259,891.38x = 52,619,029,326.64
  5. Step 5: Solve for x
    x = 52,619,029,326.64/259,891.38
  6. Step 6: Final answer
    x = 202,465.47

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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.