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Finding the Fourth Proportional to 301,826.43, 452,738.03 and 77,186.50

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Solution

The fourth proportional to 301,826.43, 452,738.03 and 77,186.50 is: 115,779.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,826.43 : 452,738.03 = 77,186.50 : x
  2. Step 2: Convert to fraction form
    301,826.43/452,738.03 = 77,186.50/x
  3. Step 3: Cross multiply
    301,826.43x = 452,738.03 × 77,186.50
  4. Step 4: Simplify right side
    301,826.43x = 34,945,262,434.82
  5. Step 5: Solve for x
    x = 34,945,262,434.82/301,826.43
  6. Step 6: Final answer
    x = 115,779.33

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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.