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Finding the Fourth Proportional to 264,829, 365,464.02 and 145,597

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Solution

The fourth proportional to 264,829, 365,464.02 and 145,597 is: 200,923.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,829 : 365,464.02 = 145,597 : x
  2. Step 2: Convert to fraction form
    264,829/365,464.02 = 145,597/x
  3. Step 3: Cross multiply
    264,829x = 365,464.02 × 145,597
  4. Step 4: Simplify right side
    264,829x = 53,210,464,919.94
  5. Step 5: Solve for x
    x = 53,210,464,919.94/264,829
  6. Step 6: Final answer
    x = 200,923.86

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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.