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Finding the Fourth Proportional to 213,687.50, 320,412.93 and 87,416.46

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Solution

The fourth proportional to 213,687.50, 320,412.93 and 87,416.46 is: 131,076.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,687.50 : 320,412.93 = 87,416.46 : x
  2. Step 2: Convert to fraction form
    213,687.50/320,412.93 = 87,416.46/x
  3. Step 3: Cross multiply
    213,687.50x = 320,412.93 × 87,416.46
  4. Step 4: Simplify right side
    213,687.50x = 28,009,364,078.83
  5. Step 5: Solve for x
    x = 28,009,364,078.83/213,687.50
  6. Step 6: Final answer
    x = 131,076.29

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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.