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Finding the Fourth Proportional to 178,844, 267,857.76 and 85,415.36

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Solution

The fourth proportional to 178,844, 267,857.76 and 85,415.36 is: 127,928.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,844 : 267,857.76 = 85,415.36 : x
  2. Step 2: Convert to fraction form
    178,844/267,857.76 = 85,415.36/x
  3. Step 3: Cross multiply
    178,844x = 267,857.76 × 85,415.36
  4. Step 4: Simplify right side
    178,844x = 22,879,166,999.19
  5. Step 5: Solve for x
    x = 22,879,166,999.19/178,844
  6. Step 6: Final answer
    x = 127,928.07

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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.