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Finding the Fourth Proportional to 197,595.26, 296,392.43 and 152,681.92

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Solution

The fourth proportional to 197,595.26, 296,392.43 and 152,681.92 is: 229,022.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,595.26 : 296,392.43 = 152,681.92 : x
  2. Step 2: Convert to fraction form
    197,595.26/296,392.43 = 152,681.92/x
  3. Step 3: Cross multiply
    197,595.26x = 296,392.43 × 152,681.92
  4. Step 4: Simplify right side
    197,595.26x = 45,253,764,926.59
  5. Step 5: Solve for x
    x = 45,253,764,926.59/197,595.26
  6. Step 6: Final answer
    x = 229,022.53

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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.