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Finding the Fourth Proportional to 243,024.30, 364,099.05 and 208,032.30

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Solution

The fourth proportional to 243,024.30, 364,099.05 and 208,032.30 is: 311,674.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,024.30 : 364,099.05 = 208,032.30 : x
  2. Step 2: Convert to fraction form
    243,024.30/364,099.05 = 208,032.30/x
  3. Step 3: Cross multiply
    243,024.30x = 364,099.05 × 208,032.30
  4. Step 4: Simplify right side
    243,024.30x = 75,744,362,799.32
  5. Step 5: Solve for x
    x = 75,744,362,799.32/243,024.30
  6. Step 6: Final answer
    x = 311,674.03

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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.