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Finding the Fourth Proportional to 190,353.96, 285,325.47 and 83,642.94

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Solution

The fourth proportional to 190,353.96, 285,325.47 and 83,642.94 is: 125,374.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,353.96 : 285,325.47 = 83,642.94 : x
  2. Step 2: Convert to fraction form
    190,353.96/285,325.47 = 83,642.94/x
  3. Step 3: Cross multiply
    190,353.96x = 285,325.47 × 83,642.94
  4. Step 4: Simplify right side
    190,353.96x = 23,865,461,167.68
  5. Step 5: Solve for x
    x = 23,865,461,167.68/190,353.96
  6. Step 6: Final answer
    x = 125,374.12

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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.