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Finding the Fourth Proportional to 268,316, 370,276.16 and 149,084

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Solution

The fourth proportional to 268,316, 370,276.16 and 149,084 is: 205,735.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,316 : 370,276.16 = 149,084 : x
  2. Step 2: Convert to fraction form
    268,316/370,276.16 = 149,084/x
  3. Step 3: Cross multiply
    268,316x = 370,276.16 × 149,084
  4. Step 4: Simplify right side
    268,316x = 55,202,251,037.44
  5. Step 5: Solve for x
    x = 55,202,251,037.44/268,316
  6. Step 6: Final answer
    x = 205,735.96

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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.