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Finding the Fourth Proportional to 78,089.50, 117,159.36 and 28,169.20

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Solution

The fourth proportional to 78,089.50, 117,159.36 and 28,169.20 is: 42,262.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,089.50 : 117,159.36 = 28,169.20 : x
  2. Step 2: Convert to fraction form
    78,089.50/117,159.36 = 28,169.20/x
  3. Step 3: Cross multiply
    78,089.50x = 117,159.36 × 28,169.20
  4. Step 4: Simplify right side
    78,089.50x = 3,300,285,443.71
  5. Step 5: Solve for x
    x = 3,300,285,443.71/78,089.50
  6. Step 6: Final answer
    x = 42,262.86

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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.