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Finding the Fourth Proportional to 140,523.16, 193,929.06 and 83,195.40

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Solution

The fourth proportional to 140,523.16, 193,929.06 and 83,195.40 is: 114,813.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,523.16 : 193,929.06 = 83,195.40 : x
  2. Step 2: Convert to fraction form
    140,523.16/193,929.06 = 83,195.40/x
  3. Step 3: Cross multiply
    140,523.16x = 193,929.06 × 83,195.40
  4. Step 4: Simplify right side
    140,523.16x = 16,134,005,718.32
  5. Step 5: Solve for x
    x = 16,134,005,718.32/140,523.16
  6. Step 6: Final answer
    x = 114,813.86

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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.