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Finding the Fourth Proportional to 82,124.60, 123,014.10 and 68,300.60

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Solution

The fourth proportional to 82,124.60, 123,014.10 and 68,300.60 is: 102,307.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,124.60 : 123,014.10 = 68,300.60 : x
  2. Step 2: Convert to fraction form
    82,124.60/123,014.10 = 68,300.60/x
  3. Step 3: Cross multiply
    82,124.60x = 123,014.10 × 68,300.60
  4. Step 4: Simplify right side
    82,124.60x = 8,401,936,838.46
  5. Step 5: Solve for x
    x = 8,401,936,838.46/82,124.60
  6. Step 6: Final answer
    x = 102,307.19

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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.