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Finding the Fourth Proportional to 77,201, 114,957.94 and 74,363.60

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Solution

The fourth proportional to 77,201, 114,957.94 and 74,363.60 is: 110,732.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,201 : 114,957.94 = 74,363.60 : x
  2. Step 2: Convert to fraction form
    77,201/114,957.94 = 74,363.60/x
  3. Step 3: Cross multiply
    77,201x = 114,957.94 × 74,363.60
  4. Step 4: Simplify right side
    77,201x = 8,548,686,266.98
  5. Step 5: Solve for x
    x = 8,548,686,266.98/77,201
  6. Step 6: Final answer
    x = 110,732.84

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.