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Finding the Fourth Proportional to 190,711.95, 286,020 and 78,423.54

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Solution

The fourth proportional to 190,711.95, 286,020 and 78,423.54 is: 117,615.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,711.95 : 286,020 = 78,423.54 : x
  2. Step 2: Convert to fraction form
    190,711.95/286,020 = 78,423.54/x
  3. Step 3: Cross multiply
    190,711.95x = 286,020 × 78,423.54
  4. Step 4: Simplify right side
    190,711.95x = 22,430,700,910.80
  5. Step 5: Solve for x
    x = 22,430,700,910.80/190,711.95
  6. Step 6: Final answer
    x = 117,615.60

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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.