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Finding the Fourth Proportional to 141,207, 211,898.04 and 82,070.52

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Solution

The fourth proportional to 141,207, 211,898.04 and 82,070.52 is: 123,156.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,207 : 211,898.04 = 82,070.52 : x
  2. Step 2: Convert to fraction form
    141,207/211,898.04 = 82,070.52/x
  3. Step 3: Cross multiply
    141,207x = 211,898.04 × 82,070.52
  4. Step 4: Simplify right side
    141,207x = 17,390,582,329.78
  5. Step 5: Solve for x
    x = 17,390,582,329.78/141,207
  6. Step 6: Final answer
    x = 123,156.66

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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.