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Finding the Fourth Proportional to 189,172.40, 283,696.85 and 62,778.68

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Solution

The fourth proportional to 189,172.40, 283,696.85 and 62,778.68 is: 94,147.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,172.40 : 283,696.85 = 62,778.68 : x
  2. Step 2: Convert to fraction form
    189,172.40/283,696.85 = 62,778.68/x
  3. Step 3: Cross multiply
    189,172.40x = 283,696.85 × 62,778.68
  4. Step 4: Simplify right side
    189,172.40x = 17,810,112,030.78
  5. Step 5: Solve for x
    x = 17,810,112,030.78/189,172.40
  6. Step 6: Final answer
    x = 94,147.52

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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.