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Finding the Fourth Proportional to 142,602, 213,914.52 and 44,106

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Solution

The fourth proportional to 142,602, 213,914.52 and 44,106 is: 66,162.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,602 : 213,914.52 = 44,106 : x
  2. Step 2: Convert to fraction form
    142,602/213,914.52 = 44,106/x
  3. Step 3: Cross multiply
    142,602x = 213,914.52 × 44,106
  4. Step 4: Simplify right side
    142,602x = 9,434,913,819.12
  5. Step 5: Solve for x
    x = 9,434,913,819.12/142,602
  6. Step 6: Final answer
    x = 66,162.56

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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.