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Finding the Fourth Proportional to 189,096.30, 264,931.65 and 189,096.30

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Solution

The fourth proportional to 189,096.30, 264,931.65 and 189,096.30 is: 264,931.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,096.30 : 264,931.65 = 189,096.30 : x
  2. Step 2: Convert to fraction form
    189,096.30/264,931.65 = 189,096.30/x
  3. Step 3: Cross multiply
    189,096.30x = 264,931.65 × 189,096.30
  4. Step 4: Simplify right side
    189,096.30x = 50,097,594,767.90
  5. Step 5: Solve for x
    x = 50,097,594,767.90/189,096.30
  6. Step 6: Final answer
    x = 264,931.65

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.