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Finding the Fourth Proportional to 301,032.99, 415,416.20 and 165,063.35

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Solution

The fourth proportional to 301,032.99, 415,416.20 and 165,063.35 is: 227,782.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,032.99 : 415,416.20 = 165,063.35 : x
  2. Step 2: Convert to fraction form
    301,032.99/415,416.20 = 165,063.35/x
  3. Step 3: Cross multiply
    301,032.99x = 415,416.20 × 165,063.35
  4. Step 4: Simplify right side
    301,032.99x = 68,569,989,829.49
  5. Step 5: Solve for x
    x = 68,569,989,829.49/301,032.99
  6. Step 6: Final answer
    x = 227,782.31

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