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Finding the Fourth Proportional to 202,804.93, 304,184.15 and 53,059.67

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Solution

The fourth proportional to 202,804.93, 304,184.15 and 53,059.67 is: 79,583.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,804.93 : 304,184.15 = 53,059.67 : x
  2. Step 2: Convert to fraction form
    202,804.93/304,184.15 = 53,059.67/x
  3. Step 3: Cross multiply
    202,804.93x = 304,184.15 × 53,059.67
  4. Step 4: Simplify right side
    202,804.93x = 16,139,910,618.23
  5. Step 5: Solve for x
    x = 16,139,910,618.23/202,804.93
  6. Step 6: Final answer
    x = 79,583.42

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Why These Related Problems?

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