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Finding the Fourth Proportional to 275,875.60, 413,813.40 and 142,796.65

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Solution

The fourth proportional to 275,875.60, 413,813.40 and 142,796.65 is: 214,194.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,875.60 : 413,813.40 = 142,796.65 : x
  2. Step 2: Convert to fraction form
    275,875.60/413,813.40 = 142,796.65/x
  3. Step 3: Cross multiply
    275,875.60x = 413,813.40 × 142,796.65
  4. Step 4: Simplify right side
    275,875.60x = 59,091,167,245.11
  5. Step 5: Solve for x
    x = 59,091,167,245.11/275,875.60
  6. Step 6: Final answer
    x = 214,194.98

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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.