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Finding the Fourth Proportional to 217,438.08, 299,937.12 and 136,737.60

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Solution

The fourth proportional to 217,438.08, 299,937.12 and 136,737.60 is: 188,617.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,438.08 : 299,937.12 = 136,737.60 : x
  2. Step 2: Convert to fraction form
    217,438.08/299,937.12 = 136,737.60/x
  3. Step 3: Cross multiply
    217,438.08x = 299,937.12 × 136,737.60
  4. Step 4: Simplify right side
    217,438.08x = 41,012,681,939.71
  5. Step 5: Solve for x
    x = 41,012,681,939.71/217,438.08
  6. Step 6: Final answer
    x = 188,617.75

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.