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Finding the Fourth Proportional to 262,984, 362,917.92 and 143,752

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Solution

The fourth proportional to 262,984, 362,917.92 and 143,752 is: 198,377.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,984 : 362,917.92 = 143,752 : x
  2. Step 2: Convert to fraction form
    262,984/362,917.92 = 143,752/x
  3. Step 3: Cross multiply
    262,984x = 362,917.92 × 143,752
  4. Step 4: Simplify right side
    262,984x = 52,170,176,835.84
  5. Step 5: Solve for x
    x = 52,170,176,835.84/262,984
  6. Step 6: Final answer
    x = 198,377.76

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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.