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Finding the Fourth Proportional to 229,205.20, 343,807.80 and 208,538.05

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Solution

The fourth proportional to 229,205.20, 343,807.80 and 208,538.05 is: 312,807.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,205.20 : 343,807.80 = 208,538.05 : x
  2. Step 2: Convert to fraction form
    229,205.20/343,807.80 = 208,538.05/x
  3. Step 3: Cross multiply
    229,205.20x = 343,807.80 × 208,538.05
  4. Step 4: Simplify right side
    229,205.20x = 71,697,008,186.79
  5. Step 5: Solve for x
    x = 71,697,008,186.79/229,205.20
  6. Step 6: Final answer
    x = 312,807.08

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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.