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Finding the Fourth Proportional to 190,498.95, 285,726.54 and 50,268.51

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Solution

The fourth proportional to 190,498.95, 285,726.54 and 50,268.51 is: 75,396.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,498.95 : 285,726.54 = 50,268.51 : x
  2. Step 2: Convert to fraction form
    190,498.95/285,726.54 = 50,268.51/x
  3. Step 3: Cross multiply
    190,498.95x = 285,726.54 × 50,268.51
  4. Step 4: Simplify right side
    190,498.95x = 14,363,047,433.26
  5. Step 5: Solve for x
    x = 14,363,047,433.26/190,498.95
  6. Step 6: Final answer
    x = 75,396.99

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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.