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Finding the Fourth Proportional to 262,938, 362,854.44 and 143,706

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Solution

The fourth proportional to 262,938, 362,854.44 and 143,706 is: 198,314.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,938 : 362,854.44 = 143,706 : x
  2. Step 2: Convert to fraction form
    262,938/362,854.44 = 143,706/x
  3. Step 3: Cross multiply
    262,938x = 362,854.44 × 143,706
  4. Step 4: Simplify right side
    262,938x = 52,144,360,154.64
  5. Step 5: Solve for x
    x = 52,144,360,154.64/262,938
  6. Step 6: Final answer
    x = 198,314.28

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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.