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Finding the Fourth Proportional to 133,585.96, 200,392.30 and 49,368.24

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Solution

The fourth proportional to 133,585.96, 200,392.30 and 49,368.24 is: 74,057.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,585.96 : 200,392.30 = 49,368.24 : x
  2. Step 2: Convert to fraction form
    133,585.96/200,392.30 = 49,368.24/x
  3. Step 3: Cross multiply
    133,585.96x = 200,392.30 × 49,368.24
  4. Step 4: Simplify right side
    133,585.96x = 9,893,015,160.55
  5. Step 5: Solve for x
    x = 9,893,015,160.55/133,585.96
  6. Step 6: Final answer
    x = 74,057.30

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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.