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Finding the Fourth Proportional to 146,605.78, 219,924.96 and 46,731.16

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Solution

The fourth proportional to 146,605.78, 219,924.96 and 46,731.16 is: 70,101.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,605.78 : 219,924.96 = 46,731.16 : x
  2. Step 2: Convert to fraction form
    146,605.78/219,924.96 = 46,731.16/x
  3. Step 3: Cross multiply
    146,605.78x = 219,924.96 × 46,731.16
  4. Step 4: Simplify right side
    146,605.78x = 10,277,348,493.75
  5. Step 5: Solve for x
    x = 10,277,348,493.75/146,605.78
  6. Step 6: Final answer
    x = 70,101.93

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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.