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Finding the Fourth Proportional to 178,018, 245,692.32 and 101,537.26

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Solution

The fourth proportional to 178,018, 245,692.32 and 101,537.26 is: 140,137.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,018 : 245,692.32 = 101,537.26 : x
  2. Step 2: Convert to fraction form
    178,018/245,692.32 = 101,537.26/x
  3. Step 3: Cross multiply
    178,018x = 245,692.32 × 101,537.26
  4. Step 4: Simplify right side
    178,018x = 24,946,924,975.84
  5. Step 5: Solve for x
    x = 24,946,924,975.84/178,018
  6. Step 6: Final answer
    x = 140,137.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.