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Finding the Fourth Proportional to 103,782, 155,268.24 and 78,894

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Solution

The fourth proportional to 103,782, 155,268.24 and 78,894 is: 118,033.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,782 : 155,268.24 = 78,894 : x
  2. Step 2: Convert to fraction form
    103,782/155,268.24 = 78,894/x
  3. Step 3: Cross multiply
    103,782x = 155,268.24 × 78,894
  4. Step 4: Simplify right side
    103,782x = 12,249,732,526.56
  5. Step 5: Solve for x
    x = 12,249,732,526.56/103,782
  6. Step 6: Final answer
    x = 118,033.31

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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.