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Finding the Fourth Proportional to 213,093.63, 319,692.49 and 70,938.63

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Solution

The fourth proportional to 213,093.63, 319,692.49 and 70,938.63 is: 106,425.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,093.63 : 319,692.49 = 70,938.63 : x
  2. Step 2: Convert to fraction form
    213,093.63/319,692.49 = 70,938.63/x
  3. Step 3: Cross multiply
    213,093.63x = 319,692.49 × 70,938.63
  4. Step 4: Simplify right side
    213,093.63x = 22,678,547,261.89
  5. Step 5: Solve for x
    x = 22,678,547,261.89/213,093.63
  6. Step 6: Final answer
    x = 106,425.27

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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.