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Finding the Fourth Proportional to 142,653.67, 213,982.94 and 53,948.95

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Solution

The fourth proportional to 142,653.67, 213,982.94 and 53,948.95 is: 80,924.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,653.67 : 213,982.94 = 53,948.95 : x
  2. Step 2: Convert to fraction form
    142,653.67/213,982.94 = 53,948.95/x
  3. Step 3: Cross multiply
    142,653.67x = 213,982.94 × 53,948.95
  4. Step 4: Simplify right side
    142,653.67x = 11,544,154,930.91
  5. Step 5: Solve for x
    x = 11,544,154,930.91/142,653.67
  6. Step 6: Final answer
    x = 80,924.35

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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.