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Finding the Fourth Proportional to 301,876.82, 452,896.90 and 102,197.23

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Solution

The fourth proportional to 301,876.82, 452,896.90 and 102,197.23 is: 153,323.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,876.82 : 452,896.90 = 102,197.23 : x
  2. Step 2: Convert to fraction form
    301,876.82/452,896.90 = 102,197.23/x
  3. Step 3: Cross multiply
    301,876.82x = 452,896.90 × 102,197.23
  4. Step 4: Simplify right side
    301,876.82x = 46,284,808,655.59
  5. Step 5: Solve for x
    x = 46,284,808,655.59/301,876.82
  6. Step 6: Final answer
    x = 153,323.49

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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.