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Finding the Fourth Proportional to 141,228, 211,841.81 and 36,046.98

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Solution

The fourth proportional to 141,228, 211,841.81 and 36,046.98 is: 54,070.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,228 : 211,841.81 = 36,046.98 : x
  2. Step 2: Convert to fraction form
    141,228/211,841.81 = 36,046.98/x
  3. Step 3: Cross multiply
    141,228x = 211,841.81 × 36,046.98
  4. Step 4: Simplify right side
    141,228x = 7,636,257,488.23
  5. Step 5: Solve for x
    x = 7,636,257,488.23/141,228
  6. Step 6: Final answer
    x = 54,070.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.