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Finding the Fourth Proportional to 102,174.44, 140,903.70 and 67,657.64

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Solution

The fourth proportional to 102,174.44, 140,903.70 and 67,657.64 is: 93,303.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,174.44 : 140,903.70 = 67,657.64 : x
  2. Step 2: Convert to fraction form
    102,174.44/140,903.70 = 67,657.64/x
  3. Step 3: Cross multiply
    102,174.44x = 140,903.70 × 67,657.64
  4. Step 4: Simplify right side
    102,174.44x = 9,533,211,809.27
  5. Step 5: Solve for x
    x = 9,533,211,809.27/102,174.44
  6. Step 6: Final answer
    x = 93,303.29

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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.