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Finding the Fourth Proportional to 141,214, 211,908.54 and 82,077.52

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Solution

The fourth proportional to 141,214, 211,908.54 and 82,077.52 is: 123,167.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,214 : 211,908.54 = 82,077.52 : x
  2. Step 2: Convert to fraction form
    141,214/211,908.54 = 82,077.52/x
  3. Step 3: Cross multiply
    141,214x = 211,908.54 × 82,077.52
  4. Step 4: Simplify right side
    141,214x = 17,392,927,430.02
  5. Step 5: Solve for x
    x = 17,392,927,430.02/141,214
  6. Step 6: Final answer
    x = 123,167.16

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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.