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Finding the Fourth Proportional to 264,913.14, 365,569.02 and 150,199.50

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Solution

The fourth proportional to 264,913.14, 365,569.02 and 150,199.50 is: 207,269.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,913.14 : 365,569.02 = 150,199.50 : x
  2. Step 2: Convert to fraction form
    264,913.14/365,569.02 = 150,199.50/x
  3. Step 3: Cross multiply
    264,913.14x = 365,569.02 × 150,199.50
  4. Step 4: Simplify right side
    264,913.14x = 54,908,284,019.49
  5. Step 5: Solve for x
    x = 54,908,284,019.49/264,913.14
  6. Step 6: Final answer
    x = 207,269.01

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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.