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Finding the Fourth Proportional to 275,875.08, 413,845.02 and 98,407.32

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Solution

The fourth proportional to 275,875.08, 413,845.02 and 98,407.32 is: 147,622.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,875.08 : 413,845.02 = 98,407.32 : x
  2. Step 2: Convert to fraction form
    275,875.08/413,845.02 = 98,407.32/x
  3. Step 3: Cross multiply
    275,875.08x = 413,845.02 × 98,407.32
  4. Step 4: Simplify right side
    275,875.08x = 40,725,379,313.55
  5. Step 5: Solve for x
    x = 40,725,379,313.55/275,875.08
  6. Step 6: Final answer
    x = 147,622.54

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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.