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Finding the Fourth Proportional to 102,514.50, 153,797.67 and 28,642.50

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Solution

The fourth proportional to 102,514.50, 153,797.67 and 28,642.50 is: 42,970.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,514.50 : 153,797.67 = 28,642.50 : x
  2. Step 2: Convert to fraction form
    102,514.50/153,797.67 = 28,642.50/x
  3. Step 3: Cross multiply
    102,514.50x = 153,797.67 × 28,642.50
  4. Step 4: Simplify right side
    102,514.50x = 4,405,149,762.98
  5. Step 5: Solve for x
    x = 4,405,149,762.98/102,514.50
  6. Step 6: Final answer
    x = 42,970.99

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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.