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Finding the Fourth Proportional to 200,811.61, 301,025.31 and 74,417.91

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Solution

The fourth proportional to 200,811.61, 301,025.31 and 74,417.91 is: 111,555.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,811.61 : 301,025.31 = 74,417.91 : x
  2. Step 2: Convert to fraction form
    200,811.61/301,025.31 = 74,417.91/x
  3. Step 3: Cross multiply
    200,811.61x = 301,025.31 × 74,417.91
  4. Step 4: Simplify right side
    200,811.61x = 22,401,674,427.30
  5. Step 5: Solve for x
    x = 22,401,674,427.30/200,811.61
  6. Step 6: Final answer
    x = 111,555.67

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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.