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Finding the Fourth Proportional to 190,059.60, 285,090.60 and 49,817

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Solution

The fourth proportional to 190,059.60, 285,090.60 and 49,817 is: 74,725.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,059.60 : 285,090.60 = 49,817 : x
  2. Step 2: Convert to fraction form
    190,059.60/285,090.60 = 49,817/x
  3. Step 3: Cross multiply
    190,059.60x = 285,090.60 × 49,817
  4. Step 4: Simplify right side
    190,059.60x = 14,202,358,420.20
  5. Step 5: Solve for x
    x = 14,202,358,420.20/190,059.60
  6. Step 6: Final answer
    x = 74,725.81

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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.