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Finding the Fourth Proportional to 193,881.60, 290,131.20 and 134,438.40

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Solution

The fourth proportional to 193,881.60, 290,131.20 and 134,438.40 is: 201,178.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,881.60 : 290,131.20 = 134,438.40 : x
  2. Step 2: Convert to fraction form
    193,881.60/290,131.20 = 134,438.40/x
  3. Step 3: Cross multiply
    193,881.60x = 290,131.20 × 134,438.40
  4. Step 4: Simplify right side
    193,881.60x = 39,004,774,318.08
  5. Step 5: Solve for x
    x = 39,004,774,318.08/193,881.60
  6. Step 6: Final answer
    x = 201,178.32

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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.