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Finding the Fourth Proportional to 123,071.80, 184,598.10 and 48,177.40

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Solution

The fourth proportional to 123,071.80, 184,598.10 and 48,177.40 is: 72,262.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,071.80 : 184,598.10 = 48,177.40 : x
  2. Step 2: Convert to fraction form
    123,071.80/184,598.10 = 48,177.40/x
  3. Step 3: Cross multiply
    123,071.80x = 184,598.10 × 48,177.40
  4. Step 4: Simplify right side
    123,071.80x = 8,893,456,502.94
  5. Step 5: Solve for x
    x = 8,893,456,502.94/123,071.80
  6. Step 6: Final answer
    x = 72,262.34

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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.