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Finding the Fourth Proportional to 184,421.80, 276,632.70 and 164,492.76

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Solution

The fourth proportional to 184,421.80, 276,632.70 and 164,492.76 is: 246,739.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,421.80 : 276,632.70 = 164,492.76 : x
  2. Step 2: Convert to fraction form
    184,421.80/276,632.70 = 164,492.76/x
  3. Step 3: Cross multiply
    184,421.80x = 276,632.70 × 164,492.76
  4. Step 4: Simplify right side
    184,421.80x = 45,504,076,329.25
  5. Step 5: Solve for x
    x = 45,504,076,329.25/184,421.80
  6. Step 6: Final answer
    x = 246,739.14

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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.