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Finding the Fourth Proportional to 197,907.68, 296,824.76 and 57,632.96

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Solution

The fourth proportional to 197,907.68, 296,824.76 and 57,632.96 is: 86,438.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,907.68 : 296,824.76 = 57,632.96 : x
  2. Step 2: Convert to fraction form
    197,907.68/296,824.76 = 57,632.96/x
  3. Step 3: Cross multiply
    197,907.68x = 296,824.76 × 57,632.96
  4. Step 4: Simplify right side
    197,907.68x = 17,106,889,520.09
  5. Step 5: Solve for x
    x = 17,106,889,520.09/197,907.68
  6. Step 6: Final answer
    x = 86,438.74

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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.