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Finding the Fourth Proportional to 180,541.58, 270,412.83 and 123,479.98

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Solution

The fourth proportional to 180,541.58, 270,412.83 and 123,479.98 is: 184,946.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,541.58 : 270,412.83 = 123,479.98 : x
  2. Step 2: Convert to fraction form
    180,541.58/270,412.83 = 123,479.98/x
  3. Step 3: Cross multiply
    180,541.58x = 270,412.83 × 123,479.98
  4. Step 4: Simplify right side
    180,541.58x = 33,390,570,164.11
  5. Step 5: Solve for x
    x = 33,390,570,164.11/180,541.58
  6. Step 6: Final answer
    x = 184,946.71

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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.