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Finding the Fourth Proportional to 123,072.80, 184,599.60 and 48,178.40

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Solution

The fourth proportional to 123,072.80, 184,599.60 and 48,178.40 is: 72,263.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,072.80 : 184,599.60 = 48,178.40 : x
  2. Step 2: Convert to fraction form
    123,072.80/184,599.60 = 48,178.40/x
  3. Step 3: Cross multiply
    123,072.80x = 184,599.60 × 48,178.40
  4. Step 4: Simplify right side
    123,072.80x = 8,893,713,368.64
  5. Step 5: Solve for x
    x = 8,893,713,368.64/123,072.80
  6. Step 6: Final answer
    x = 72,263.84

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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.