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Finding the Fourth Proportional to 190,570.45, 285,948.62 and 78,284.40

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Solution

The fourth proportional to 190,570.45, 285,948.62 and 78,284.40 is: 117,464.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,570.45 : 285,948.62 = 78,284.40 : x
  2. Step 2: Convert to fraction form
    190,570.45/285,948.62 = 78,284.40/x
  3. Step 3: Cross multiply
    190,570.45x = 285,948.62 × 78,284.40
  4. Step 4: Simplify right side
    190,570.45x = 22,385,316,147.53
  5. Step 5: Solve for x
    x = 22,385,316,147.53/190,570.45
  6. Step 6: Final answer
    x = 117,464.78

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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.