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Finding the Fourth Proportional to 228,076.60, 342,114.90 and 144,095.80

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Solution

The fourth proportional to 228,076.60, 342,114.90 and 144,095.80 is: 216,143.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,076.60 : 342,114.90 = 144,095.80 : x
  2. Step 2: Convert to fraction form
    228,076.60/342,114.90 = 144,095.80/x
  3. Step 3: Cross multiply
    228,076.60x = 342,114.90 × 144,095.80
  4. Step 4: Simplify right side
    228,076.60x = 49,297,320,207.42
  5. Step 5: Solve for x
    x = 49,297,320,207.42/228,076.60
  6. Step 6: Final answer
    x = 216,143.70

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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.