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Finding the Fourth Proportional to 141,213, 211,907.04 and 82,076.52

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Solution

The fourth proportional to 141,213, 211,907.04 and 82,076.52 is: 123,165.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,213 : 211,907.04 = 82,076.52 : x
  2. Step 2: Convert to fraction form
    141,213/211,907.04 = 82,076.52/x
  3. Step 3: Cross multiply
    141,213x = 211,907.04 × 82,076.52
  4. Step 4: Simplify right side
    141,213x = 17,392,592,406.70
  5. Step 5: Solve for x
    x = 17,392,592,406.70/141,213
  6. Step 6: Final answer
    x = 123,165.66

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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.