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Finding the Fourth Proportional to 202,929.65, 304,371.14 and 53,181.74

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Solution

The fourth proportional to 202,929.65, 304,371.14 and 53,181.74 is: 79,766.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,929.65 : 304,371.14 = 53,181.74 : x
  2. Step 2: Convert to fraction form
    202,929.65/304,371.14 = 53,181.74/x
  3. Step 3: Cross multiply
    202,929.65x = 304,371.14 × 53,181.74
  4. Step 4: Simplify right side
    202,929.65x = 16,186,985,043.22
  5. Step 5: Solve for x
    x = 16,186,985,043.22/202,929.65
  6. Step 6: Final answer
    x = 79,766.49

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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.