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Finding the Fourth Proportional to 146,482.15, 219,713.91 and 46,713.91

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Solution

The fourth proportional to 146,482.15, 219,713.91 and 46,713.91 is: 70,067.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,482.15 : 219,713.91 = 46,713.91 : x
  2. Step 2: Convert to fraction form
    146,482.15/219,713.91 = 46,713.91/x
  3. Step 3: Cross multiply
    146,482.15x = 219,713.91 × 46,713.91
  4. Step 4: Simplify right side
    146,482.15x = 10,263,695,817.49
  5. Step 5: Solve for x
    x = 10,263,695,817.49/146,482.15
  6. Step 6: Final answer
    x = 70,067.89

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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.