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Finding the Fourth Proportional to 68,184.10, 102,166.80 and 44,783.20

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Solution

The fourth proportional to 68,184.10, 102,166.80 and 44,783.20 is: 67,102.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,184.10 : 102,166.80 = 44,783.20 : x
  2. Step 2: Convert to fraction form
    68,184.10/102,166.80 = 44,783.20/x
  3. Step 3: Cross multiply
    68,184.10x = 102,166.80 × 44,783.20
  4. Step 4: Simplify right side
    68,184.10x = 4,575,356,237.76
  5. Step 5: Solve for x
    x = 4,575,356,237.76/68,184.10
  6. Step 6: Final answer
    x = 67,102.98

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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.