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Finding the Fourth Proportional to 190,503.20, 285,852 and 78,269.60

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Solution

The fourth proportional to 190,503.20, 285,852 and 78,269.60 is: 117,444.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,503.20 : 285,852 = 78,269.60 : x
  2. Step 2: Convert to fraction form
    190,503.20/285,852 = 78,269.60/x
  3. Step 3: Cross multiply
    190,503.20x = 285,852 × 78,269.60
  4. Step 4: Simplify right side
    190,503.20x = 22,373,521,699.20
  5. Step 5: Solve for x
    x = 22,373,521,699.20/190,503.20
  6. Step 6: Final answer
    x = 117,444.34

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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.