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Finding the Fourth Proportional to 102,506.50, 153,785.67 and 28,634.50

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Solution

The fourth proportional to 102,506.50, 153,785.67 and 28,634.50 is: 42,958.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,506.50 : 153,785.67 = 28,634.50 : x
  2. Step 2: Convert to fraction form
    102,506.50/153,785.67 = 28,634.50/x
  3. Step 3: Cross multiply
    102,506.50x = 153,785.67 × 28,634.50
  4. Step 4: Simplify right side
    102,506.50x = 4,403,575,767.62
  5. Step 5: Solve for x
    x = 4,403,575,767.62/102,506.50
  6. Step 6: Final answer
    x = 42,958.99

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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.