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Finding the Fourth Proportional to 265,266.77, 397,826.03 and 105,270.71

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Solution

The fourth proportional to 265,266.77, 397,826.03 and 105,270.71 is: 157,876.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,266.77 : 397,826.03 = 105,270.71 : x
  2. Step 2: Convert to fraction form
    265,266.77/397,826.03 = 105,270.71/x
  3. Step 3: Cross multiply
    265,266.77x = 397,826.03 × 105,270.71
  4. Step 4: Simplify right side
    265,266.77x = 41,879,426,908.63
  5. Step 5: Solve for x
    x = 41,879,426,908.63/265,266.77
  6. Step 6: Final answer
    x = 157,876.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.