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Finding the Fourth Proportional to 116,461.74, 174,692.58 and 92,978.22

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Solution

The fourth proportional to 116,461.74, 174,692.58 and 92,978.22 is: 139,467.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,461.74 : 174,692.58 = 92,978.22 : x
  2. Step 2: Convert to fraction form
    116,461.74/174,692.58 = 92,978.22/x
  3. Step 3: Cross multiply
    116,461.74x = 174,692.58 × 92,978.22
  4. Step 4: Simplify right side
    116,461.74x = 16,242,605,135.61
  5. Step 5: Solve for x
    x = 16,242,605,135.61/116,461.74
  6. Step 6: Final answer
    x = 139,467.31

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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.