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Finding the Fourth Proportional to 224,022.80, 336,034.20 and 185,142.80

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Solution

The fourth proportional to 224,022.80, 336,034.20 and 185,142.80 is: 277,714.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,022.80 : 336,034.20 = 185,142.80 : x
  2. Step 2: Convert to fraction form
    224,022.80/336,034.20 = 185,142.80/x
  3. Step 3: Cross multiply
    224,022.80x = 336,034.20 × 185,142.80
  4. Step 4: Simplify right side
    224,022.80x = 62,214,312,683.76
  5. Step 5: Solve for x
    x = 62,214,312,683.76/224,022.80
  6. Step 6: Final answer
    x = 277,714.20

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1.5x scale

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.