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Finding the Fourth Proportional to 260,018, 358,824.84 and 140,786

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Solution

The fourth proportional to 260,018, 358,824.84 and 140,786 is: 194,284.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,018 : 358,824.84 = 140,786 : x
  2. Step 2: Convert to fraction form
    260,018/358,824.84 = 140,786/x
  3. Step 3: Cross multiply
    260,018x = 358,824.84 × 140,786
  4. Step 4: Simplify right side
    260,018x = 50,517,513,924.24
  5. Step 5: Solve for x
    x = 50,517,513,924.24/260,018
  6. Step 6: Final answer
    x = 194,284.68

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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.