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Finding the Fourth Proportional to 141,473.46, 212,231.30 and 46,713.66

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Solution

The fourth proportional to 141,473.46, 212,231.30 and 46,713.66 is: 70,077.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,473.46 : 212,231.30 = 46,713.66 : x
  2. Step 2: Convert to fraction form
    141,473.46/212,231.30 = 46,713.66/x
  3. Step 3: Cross multiply
    141,473.46x = 212,231.30 × 46,713.66
  4. Step 4: Simplify right side
    141,473.46x = 9,914,099,760.12
  5. Step 5: Solve for x
    x = 9,914,099,760.12/141,473.46
  6. Step 6: Final answer
    x = 70,077.45

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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.