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Finding the Fourth Proportional to 140,907.84, 194,454.36 and 77,244.24

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Solution

The fourth proportional to 140,907.84, 194,454.36 and 77,244.24 is: 106,597.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,907.84 : 194,454.36 = 77,244.24 : x
  2. Step 2: Convert to fraction form
    140,907.84/194,454.36 = 77,244.24/x
  3. Step 3: Cross multiply
    140,907.84x = 194,454.36 × 77,244.24
  4. Step 4: Simplify right side
    140,907.84x = 15,020,479,252.89
  5. Step 5: Solve for x
    x = 15,020,479,252.89/140,907.84
  6. Step 6: Final answer
    x = 106,597.90

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1.5x scale

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.