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Finding the Fourth Proportional to 219,871.80, 328,823.55 and 184,442.40

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Solution

The fourth proportional to 219,871.80, 328,823.55 and 184,442.40 is: 275,838.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,871.80 : 328,823.55 = 184,442.40 : x
  2. Step 2: Convert to fraction form
    219,871.80/328,823.55 = 184,442.40/x
  3. Step 3: Cross multiply
    219,871.80x = 328,823.55 × 184,442.40
  4. Step 4: Simplify right side
    219,871.80x = 60,649,004,738.52
  5. Step 5: Solve for x
    x = 60,649,004,738.52/219,871.80
  6. Step 6: Final answer
    x = 275,838.03

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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.