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Finding the Fourth Proportional to 190,373, 285,561.48 and 78,024.38

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Solution

The fourth proportional to 190,373, 285,561.48 and 78,024.38 is: 117,037.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,373 : 285,561.48 = 78,024.38 : x
  2. Step 2: Convert to fraction form
    190,373/285,561.48 = 78,024.38/x
  3. Step 3: Cross multiply
    190,373x = 285,561.48 × 78,024.38
  4. Step 4: Simplify right side
    190,373x = 22,280,757,428.88
  5. Step 5: Solve for x
    x = 22,280,757,428.88/190,373
  6. Step 6: Final answer
    x = 117,037.38

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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.