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Finding the Fourth Proportional to 243,022.20, 364,533.30 and 209,779.80

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Solution

The fourth proportional to 243,022.20, 364,533.30 and 209,779.80 is: 314,669.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,022.20 : 364,533.30 = 209,779.80 : x
  2. Step 2: Convert to fraction form
    243,022.20/364,533.30 = 209,779.80/x
  3. Step 3: Cross multiply
    243,022.20x = 364,533.30 × 209,779.80
  4. Step 4: Simplify right side
    243,022.20x = 76,471,722,767.34
  5. Step 5: Solve for x
    x = 76,471,722,767.34/243,022.20
  6. Step 6: Final answer
    x = 314,669.70

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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.