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Finding the Fourth Proportional to 265,335.85, 398,166.94 and 105,383.80

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Solution

The fourth proportional to 265,335.85, 398,166.94 and 105,383.80 is: 158,140.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,335.85 : 398,166.94 = 105,383.80 : x
  2. Step 2: Convert to fraction form
    265,335.85/398,166.94 = 105,383.80/x
  3. Step 3: Cross multiply
    265,335.85x = 398,166.94 × 105,383.80
  4. Step 4: Simplify right side
    265,335.85x = 41,960,342,653.82
  5. Step 5: Solve for x
    x = 41,960,342,653.82/265,335.85
  6. Step 6: Final answer
    x = 158,140.50

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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.