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Finding the Fourth Proportional to 492,052.30, 737,977.65 and 136,977.10

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Solution

The fourth proportional to 492,052.30, 737,977.65 and 136,977.10 is: 205,437.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,052.30 : 737,977.65 = 136,977.10 : x
  2. Step 2: Convert to fraction form
    492,052.30/737,977.65 = 136,977.10/x
  3. Step 3: Cross multiply
    492,052.30x = 737,977.65 × 136,977.10
  4. Step 4: Simplify right side
    492,052.30x = 101,086,038,361.82
  5. Step 5: Solve for x
    x = 101,086,038,361.82/492,052.30
  6. Step 6: Final answer
    x = 205,437.59

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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.