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Finding the Fourth Proportional to 190,498.52, 285,727.62 and 78,190.58

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Solution

The fourth proportional to 190,498.52, 285,727.62 and 78,190.58 is: 117,277.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,498.52 : 285,727.62 = 78,190.58 : x
  2. Step 2: Convert to fraction form
    190,498.52/285,727.62 = 78,190.58/x
  3. Step 3: Cross multiply
    190,498.52x = 285,727.62 × 78,190.58
  4. Step 4: Simplify right side
    190,498.52x = 22,341,208,329.82
  5. Step 5: Solve for x
    x = 22,341,208,329.82/190,498.52
  6. Step 6: Final answer
    x = 117,277.60

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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.