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Finding the Fourth Proportional to 178,412.63, 246,141.86 and 113,884.38

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Solution

The fourth proportional to 178,412.63, 246,141.86 and 113,884.38 is: 157,117.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,412.63 : 246,141.86 = 113,884.38 : x
  2. Step 2: Convert to fraction form
    178,412.63/246,141.86 = 113,884.38/x
  3. Step 3: Cross multiply
    178,412.63x = 246,141.86 × 113,884.38
  4. Step 4: Simplify right side
    178,412.63x = 28,031,712,548.72
  5. Step 5: Solve for x
    x = 28,031,712,548.72/178,412.63
  6. Step 6: Final answer
    x = 157,117.31

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.