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Finding the Fourth Proportional to 140,751.84, 194,256.84 and 86,336.52

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Solution

The fourth proportional to 140,751.84, 194,256.84 and 86,336.52 is: 119,156.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,751.84 : 194,256.84 = 86,336.52 : x
  2. Step 2: Convert to fraction form
    140,751.84/194,256.84 = 86,336.52/x
  3. Step 3: Cross multiply
    140,751.84x = 194,256.84 × 86,336.52
  4. Step 4: Simplify right side
    140,751.84x = 16,771,459,551.80
  5. Step 5: Solve for x
    x = 16,771,459,551.80/140,751.84
  6. Step 6: Final answer
    x = 119,156.24

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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.