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Finding the Fourth Proportional to 212,357.74, 318,733.54 and 107,250.46

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Solution

The fourth proportional to 212,357.74, 318,733.54 and 107,250.46 is: 160,975.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,357.74 : 318,733.54 = 107,250.46 : x
  2. Step 2: Convert to fraction form
    212,357.74/318,733.54 = 107,250.46/x
  3. Step 3: Cross multiply
    212,357.74x = 318,733.54 × 107,250.46
  4. Step 4: Simplify right side
    212,357.74x = 34,184,318,782.43
  5. Step 5: Solve for x
    x = 34,184,318,782.43/212,357.74
  6. Step 6: Final answer
    x = 160,975.15

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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.