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Finding the Fourth Proportional to 275,200.65, 412,800.98 and 97,725.60

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Solution

The fourth proportional to 275,200.65, 412,800.98 and 97,725.60 is: 146,588.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,200.65 : 412,800.98 = 97,725.60 : x
  2. Step 2: Convert to fraction form
    275,200.65/412,800.98 = 97,725.60/x
  3. Step 3: Cross multiply
    275,200.65x = 412,800.98 × 97,725.60
  4. Step 4: Simplify right side
    275,200.65x = 40,341,222,962.46
  5. Step 5: Solve for x
    x = 40,341,222,962.46/275,200.65
  6. Step 6: Final answer
    x = 146,588.40

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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.