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Finding the Fourth Proportional to 142,596.86, 214,283.01 and 76,083.98

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Solution

The fourth proportional to 142,596.86, 214,283.01 and 76,083.98 is: 114,332.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,596.86 : 214,283.01 = 76,083.98 : x
  2. Step 2: Convert to fraction form
    142,596.86/214,283.01 = 76,083.98/x
  3. Step 3: Cross multiply
    142,596.86x = 214,283.01 × 76,083.98
  4. Step 4: Simplify right side
    142,596.86x = 16,303,504,247.18
  5. Step 5: Solve for x
    x = 16,303,504,247.18/142,596.86
  6. Step 6: Final answer
    x = 114,332.84

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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.