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Finding the Fourth Proportional to 200,907.85, 301,361.73 and 156,567.76

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Solution

The fourth proportional to 200,907.85, 301,361.73 and 156,567.76 is: 234,851.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,907.85 : 301,361.73 = 156,567.76 : x
  2. Step 2: Convert to fraction form
    200,907.85/301,361.73 = 156,567.76/x
  3. Step 3: Cross multiply
    200,907.85x = 301,361.73 × 156,567.76
  4. Step 4: Simplify right side
    200,907.85x = 47,183,531,015.82
  5. Step 5: Solve for x
    x = 47,183,531,015.82/200,907.85
  6. Step 6: Final answer
    x = 234,851.60

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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.