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Finding the Fourth Proportional to 357,924.36, 536,874.20 and 91,687.16

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Solution

The fourth proportional to 357,924.36, 536,874.20 and 91,687.16 is: 137,527.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,924.36 : 536,874.20 = 91,687.16 : x
  2. Step 2: Convert to fraction form
    357,924.36/536,874.20 = 91,687.16/x
  3. Step 3: Cross multiply
    357,924.36x = 536,874.20 × 91,687.16
  4. Step 4: Simplify right side
    357,924.36x = 49,224,470,675.27
  5. Step 5: Solve for x
    x = 49,224,470,675.27/357,924.36
  6. Step 6: Final answer
    x = 137,527.58

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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.