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Finding the Fourth Proportional to 102,697.02, 154,006.65 and 40,333.50

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Solution

The fourth proportional to 102,697.02, 154,006.65 and 40,333.50 is: 60,484.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,697.02 : 154,006.65 = 40,333.50 : x
  2. Step 2: Convert to fraction form
    102,697.02/154,006.65 = 40,333.50/x
  3. Step 3: Cross multiply
    102,697.02x = 154,006.65 × 40,333.50
  4. Step 4: Simplify right side
    102,697.02x = 6,211,627,217.78
  5. Step 5: Solve for x
    x = 6,211,627,217.78/102,697.02
  6. Step 6: Final answer
    x = 60,484.98

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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.