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Finding the Fourth Proportional to 264,333.16, 364,769.98 and 143,471.84

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Solution

The fourth proportional to 264,333.16, 364,769.98 and 143,471.84 is: 197,985.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,333.16 : 364,769.98 = 143,471.84 : x
  2. Step 2: Convert to fraction form
    264,333.16/364,769.98 = 143,471.84/x
  3. Step 3: Cross multiply
    264,333.16x = 364,769.98 × 143,471.84
  4. Step 4: Simplify right side
    264,333.16x = 52,334,220,207.36
  5. Step 5: Solve for x
    x = 52,334,220,207.36/264,333.16
  6. Step 6: Final answer
    x = 197,985.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.