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Finding the Fourth Proportional to 219,877.30, 328,831.80 and 184,447.90

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Solution

The fourth proportional to 219,877.30, 328,831.80 and 184,447.90 is: 275,846.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,877.30 : 328,831.80 = 184,447.90 : x
  2. Step 2: Convert to fraction form
    219,877.30/328,831.80 = 184,447.90/x
  3. Step 3: Cross multiply
    219,877.30x = 328,831.80 × 184,447.90
  4. Step 4: Simplify right side
    219,877.30x = 60,652,334,963.22
  5. Step 5: Solve for x
    x = 60,652,334,963.22/219,877.30
  6. Step 6: Final answer
    x = 275,846.28

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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.