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Finding the Fourth Proportional to 140,828.16, 194,359.68 and 87,148.80

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Solution

The fourth proportional to 140,828.16, 194,359.68 and 87,148.80 is: 120,275.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,828.16 : 194,359.68 = 87,148.80 : x
  2. Step 2: Convert to fraction form
    140,828.16/194,359.68 = 87,148.80/x
  3. Step 3: Cross multiply
    140,828.16x = 194,359.68 × 87,148.80
  4. Step 4: Simplify right side
    140,828.16x = 16,938,212,880.38
  5. Step 5: Solve for x
    x = 16,938,212,880.38/140,828.16
  6. Step 6: Final answer
    x = 120,275.75

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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.