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Finding the Fourth Proportional to 275,416.40, 413,124.60 and 98,123.60

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Solution

The fourth proportional to 275,416.40, 413,124.60 and 98,123.60 is: 147,185.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,416.40 : 413,124.60 = 98,123.60 : x
  2. Step 2: Convert to fraction form
    275,416.40/413,124.60 = 98,123.60/x
  3. Step 3: Cross multiply
    275,416.40x = 413,124.60 × 98,123.60
  4. Step 4: Simplify right side
    275,416.40x = 40,537,273,000.56
  5. Step 5: Solve for x
    x = 40,537,273,000.56/275,416.40
  6. Step 6: Final answer
    x = 147,185.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.