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Finding the Fourth Proportional to 200,826.87, 301,030.14 and 67,661.10

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Solution

The fourth proportional to 200,826.87, 301,030.14 and 67,661.10 is: 101,420.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,826.87 : 301,030.14 = 67,661.10 : x
  2. Step 2: Convert to fraction form
    200,826.87/301,030.14 = 67,661.10/x
  3. Step 3: Cross multiply
    200,826.87x = 301,030.14 × 67,661.10
  4. Step 4: Simplify right side
    200,826.87x = 20,368,030,405.55
  5. Step 5: Solve for x
    x = 20,368,030,405.55/200,826.87
  6. Step 6: Final answer
    x = 101,420.84

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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.