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Finding the Fourth Proportional to 286,144.66, 429,638.33 and 160,031.99

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Solution

The fourth proportional to 286,144.66, 429,638.33 and 160,031.99 is: 240,283.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,144.66 : 429,638.33 = 160,031.99 : x
  2. Step 2: Convert to fraction form
    286,144.66/429,638.33 = 160,031.99/x
  3. Step 3: Cross multiply
    286,144.66x = 429,638.33 × 160,031.99
  4. Step 4: Simplify right side
    286,144.66x = 68,755,876,930.18
  5. Step 5: Solve for x
    x = 68,755,876,930.18/286,144.66
  6. Step 6: Final answer
    x = 240,283.63

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.