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Finding the Fourth Proportional to 164,947.74, 227,730.92 and 113,353.71

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Solution

The fourth proportional to 164,947.74, 227,730.92 and 113,353.71 is: 156,498.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,947.74 : 227,730.92 = 113,353.71 : x
  2. Step 2: Convert to fraction form
    164,947.74/227,730.92 = 113,353.71/x
  3. Step 3: Cross multiply
    164,947.74x = 227,730.92 × 113,353.71
  4. Step 4: Simplify right side
    164,947.74x = 25,814,144,663.71
  5. Step 5: Solve for x
    x = 25,814,144,663.71/164,947.74
  6. Step 6: Final answer
    x = 156,498.93

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1.5x scale

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.