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Finding the Fourth Proportional to 265,978.49, 367,048.44 and 151,257.06

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Solution

The fourth proportional to 265,978.49, 367,048.44 and 151,257.06 is: 208,733.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,978.49 : 367,048.44 = 151,257.06 : x
  2. Step 2: Convert to fraction form
    265,978.49/367,048.44 = 151,257.06/x
  3. Step 3: Cross multiply
    265,978.49x = 367,048.44 × 151,257.06
  4. Step 4: Simplify right side
    265,978.49x = 55,518,667,911.99
  5. Step 5: Solve for x
    x = 55,518,667,911.99/265,978.49
  6. Step 6: Final answer
    x = 208,733.68

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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.