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Finding the Fourth Proportional to 306,099.57, 459,148.72 and 81,459.98

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Solution

The fourth proportional to 306,099.57, 459,148.72 and 81,459.98 is: 122,189.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,099.57 : 459,148.72 = 81,459.98 : x
  2. Step 2: Convert to fraction form
    306,099.57/459,148.72 = 81,459.98/x
  3. Step 3: Cross multiply
    306,099.57x = 459,148.72 × 81,459.98
  4. Step 4: Simplify right side
    306,099.57x = 37,402,245,548.23
  5. Step 5: Solve for x
    x = 37,402,245,548.23/306,099.57
  6. Step 6: Final answer
    x = 122,189.80

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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.