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Finding the Fourth Proportional to 190,663.98, 285,997.59 and 48,509.40

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Solution

The fourth proportional to 190,663.98, 285,997.59 and 48,509.40 is: 72,764.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,663.98 : 285,997.59 = 48,509.40 : x
  2. Step 2: Convert to fraction form
    190,663.98/285,997.59 = 48,509.40/x
  3. Step 3: Cross multiply
    190,663.98x = 285,997.59 × 48,509.40
  4. Step 4: Simplify right side
    190,663.98x = 13,873,571,492.35
  5. Step 5: Solve for x
    x = 13,873,571,492.35/190,663.98
  6. Step 6: Final answer
    x = 72,764.51

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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.