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Finding the Fourth Proportional to 190,058.59, 285,089.10 and 49,816

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Solution

The fourth proportional to 190,058.59, 285,089.10 and 49,816 is: 74,724.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,058.59 : 285,089.10 = 49,816 : x
  2. Step 2: Convert to fraction form
    190,058.59/285,089.10 = 49,816/x
  3. Step 3: Cross multiply
    190,058.59x = 285,089.10 × 49,816
  4. Step 4: Simplify right side
    190,058.59x = 14,201,998,605.60
  5. Step 5: Solve for x
    x = 14,201,998,605.60/190,058.59
  6. Step 6: Final answer
    x = 74,724.32

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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.