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Finding the Fourth Proportional to 164,597.56, 227,148.78 and 100,970.52

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Solution

The fourth proportional to 164,597.56, 227,148.78 and 100,970.52 is: 139,341.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,597.56 : 227,148.78 = 100,970.52 : x
  2. Step 2: Convert to fraction form
    164,597.56/227,148.78 = 100,970.52/x
  3. Step 3: Cross multiply
    164,597.56x = 227,148.78 × 100,970.52
  4. Step 4: Simplify right side
    164,597.56x = 22,935,330,433.97
  5. Step 5: Solve for x
    x = 22,935,330,433.97/164,597.56
  6. Step 6: Final answer
    x = 139,341.86

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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.