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Finding the Fourth Proportional to 206,031.45, 284,290.93 and 120,004.59

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Solution

The fourth proportional to 206,031.45, 284,290.93 and 120,004.59 is: 165,587.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,031.45 : 284,290.93 = 120,004.59 : x
  2. Step 2: Convert to fraction form
    206,031.45/284,290.93 = 120,004.59/x
  3. Step 3: Cross multiply
    206,031.45x = 284,290.93 × 120,004.59
  4. Step 4: Simplify right side
    206,031.45x = 34,116,216,495.37
  5. Step 5: Solve for x
    x = 34,116,216,495.37/206,031.45
  6. Step 6: Final answer
    x = 165,587.42

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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.