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Finding the Fourth Proportional to 140,512.54, 193,914.35 and 83,184.74

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Solution

The fourth proportional to 140,512.54, 193,914.35 and 83,184.74 is: 114,799.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,512.54 : 193,914.35 = 83,184.74 : x
  2. Step 2: Convert to fraction form
    140,512.54/193,914.35 = 83,184.74/x
  3. Step 3: Cross multiply
    140,512.54x = 193,914.35 × 83,184.74
  4. Step 4: Simplify right side
    140,512.54x = 16,130,714,025.41
  5. Step 5: Solve for x
    x = 16,130,714,025.41/140,512.54
  6. Step 6: Final answer
    x = 114,799.11

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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.