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Finding the Fourth Proportional to 141,809.36, 212,711.64 and 41,969

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Solution

The fourth proportional to 141,809.36, 212,711.64 and 41,969 is: 62,952.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,809.36 : 212,711.64 = 41,969 : x
  2. Step 2: Convert to fraction form
    141,809.36/212,711.64 = 41,969/x
  3. Step 3: Cross multiply
    141,809.36x = 212,711.64 × 41,969
  4. Step 4: Simplify right side
    141,809.36x = 8,927,294,819.16
  5. Step 5: Solve for x
    x = 8,927,294,819.16/141,809.36
  6. Step 6: Final answer
    x = 62,952.79

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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.