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Finding the Fourth Proportional to 156,162.78, 215,357.13 and 102,494.34

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Solution

The fourth proportional to 156,162.78, 215,357.13 and 102,494.34 is: 141,345.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,162.78 : 215,357.13 = 102,494.34 : x
  2. Step 2: Convert to fraction form
    156,162.78/215,357.13 = 102,494.34/x
  3. Step 3: Cross multiply
    156,162.78x = 215,357.13 × 102,494.34
  4. Step 4: Simplify right side
    156,162.78x = 22,072,886,903.64
  5. Step 5: Solve for x
    x = 22,072,886,903.64/156,162.78
  6. Step 6: Final answer
    x = 141,345.38

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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.