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Finding the Fourth Proportional to 262,316, 361,996.08 and 143,084

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Solution

The fourth proportional to 262,316, 361,996.08 and 143,084 is: 197,455.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,316 : 361,996.08 = 143,084 : x
  2. Step 2: Convert to fraction form
    262,316/361,996.08 = 143,084/x
  3. Step 3: Cross multiply
    262,316x = 361,996.08 × 143,084
  4. Step 4: Simplify right side
    262,316x = 51,795,847,110.72
  5. Step 5: Solve for x
    x = 51,795,847,110.72/262,316
  6. Step 6: Final answer
    x = 197,455.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.