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Finding the Fourth Proportional to 182,962.60, 274,616.70 and 112,978.60

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Solution

The fourth proportional to 182,962.60, 274,616.70 and 112,978.60 is: 169,574.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,962.60 : 274,616.70 = 112,978.60 : x
  2. Step 2: Convert to fraction form
    182,962.60/274,616.70 = 112,978.60/x
  3. Step 3: Cross multiply
    182,962.60x = 274,616.70 × 112,978.60
  4. Step 4: Simplify right side
    182,962.60x = 31,025,810,302.62
  5. Step 5: Solve for x
    x = 31,025,810,302.62/182,962.60
  6. Step 6: Final answer
    x = 169,574.60

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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.