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Finding the Fourth Proportional to 200,909.32, 301,354.24 and 74,574.19

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Solution

The fourth proportional to 200,909.32, 301,354.24 and 74,574.19 is: 111,857.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,909.32 : 301,354.24 = 74,574.19 : x
  2. Step 2: Convert to fraction form
    200,909.32/301,354.24 = 74,574.19/x
  3. Step 3: Cross multiply
    200,909.32x = 301,354.24 × 74,574.19
  4. Step 4: Simplify right side
    200,909.32x = 22,473,248,351.07
  5. Step 5: Solve for x
    x = 22,473,248,351.07/200,909.32
  6. Step 6: Final answer
    x = 111,857.67

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.