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Finding the Fourth Proportional to 139,886.57, 193,043.17 and 76,224.22

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Solution

The fourth proportional to 139,886.57, 193,043.17 and 76,224.22 is: 105,189.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,886.57 : 193,043.17 = 76,224.22 : x
  2. Step 2: Convert to fraction form
    139,886.57/193,043.17 = 76,224.22/x
  3. Step 3: Cross multiply
    139,886.57x = 193,043.17 × 76,224.22
  4. Step 4: Simplify right side
    139,886.57x = 14,714,565,059.58
  5. Step 5: Solve for x
    x = 14,714,565,059.58/139,886.57
  6. Step 6: Final answer
    x = 105,189.26

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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.