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Finding the Fourth Proportional to 301,252.87, 415,733.06 and 165,284.35

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Solution

The fourth proportional to 301,252.87, 415,733.06 and 165,284.35 is: 228,094.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,252.87 : 415,733.06 = 165,284.35 : x
  2. Step 2: Convert to fraction form
    301,252.87/415,733.06 = 165,284.35/x
  3. Step 3: Cross multiply
    301,252.87x = 415,733.06 × 165,284.35
  4. Step 4: Simplify right side
    301,252.87x = 68,714,167,039.76
  5. Step 5: Solve for x
    x = 68,714,167,039.76/301,252.87
  6. Step 6: Final answer
    x = 228,094.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.