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Finding the Fourth Proportional to 255,679.50, 383,574.62 and 97,907.96

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Solution

The fourth proportional to 255,679.50, 383,574.62 and 97,907.96 is: 146,883.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,679.50 : 383,574.62 = 97,907.96 : x
  2. Step 2: Convert to fraction form
    255,679.50/383,574.62 = 97,907.96/x
  3. Step 3: Cross multiply
    255,679.50x = 383,574.62 × 97,907.96
  4. Step 4: Simplify right side
    255,679.50x = 37,555,006,144.56
  5. Step 5: Solve for x
    x = 37,555,006,144.56/255,679.50
  6. Step 6: Final answer
    x = 146,883.13

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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.