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Finding the Fourth Proportional to 123,077.52, 184,962.54 and 73,166.58

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Solution

The fourth proportional to 123,077.52, 184,962.54 and 73,166.58 is: 109,955.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,077.52 : 184,962.54 = 73,166.58 : x
  2. Step 2: Convert to fraction form
    123,077.52/184,962.54 = 73,166.58/x
  3. Step 3: Cross multiply
    123,077.52x = 184,962.54 × 73,166.58
  4. Step 4: Simplify right side
    123,077.52x = 13,533,076,479.91
  5. Step 5: Solve for x
    x = 13,533,076,479.91/123,077.52
  6. Step 6: Final answer
    x = 109,955.71

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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.