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Finding the Fourth Proportional to 162,123.28, 223,733.88 and 101,696.47

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Solution

The fourth proportional to 162,123.28, 223,733.88 and 101,696.47 is: 140,343.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,123.28 : 223,733.88 = 101,696.47 : x
  2. Step 2: Convert to fraction form
    162,123.28/223,733.88 = 101,696.47/x
  3. Step 3: Cross multiply
    162,123.28x = 223,733.88 × 101,696.47
  4. Step 4: Simplify right side
    162,123.28x = 22,752,945,256.07
  5. Step 5: Solve for x
    x = 22,752,945,256.07/162,123.28
  6. Step 6: Final answer
    x = 140,343.48

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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.