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Finding the Fourth Proportional to 103,683.85, 155,689.80 and 78,752.05

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Solution

The fourth proportional to 103,683.85, 155,689.80 and 78,752.05 is: 118,252.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,683.85 : 155,689.80 = 78,752.05 : x
  2. Step 2: Convert to fraction form
    103,683.85/155,689.80 = 78,752.05/x
  3. Step 3: Cross multiply
    103,683.85x = 155,689.80 × 78,752.05
  4. Step 4: Simplify right side
    103,683.85x = 12,260,890,914.09
  5. Step 5: Solve for x
    x = 12,260,890,914.09/103,683.85
  6. Step 6: Final answer
    x = 118,252.66

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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.