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Finding the Fourth Proportional to 224,085.80, 336,188.10 and 97,671.80

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Solution

The fourth proportional to 224,085.80, 336,188.10 and 97,671.80 is: 146,533.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,085.80 : 336,188.10 = 97,671.80 : x
  2. Step 2: Convert to fraction form
    224,085.80/336,188.10 = 97,671.80/x
  3. Step 3: Cross multiply
    224,085.80x = 336,188.10 × 97,671.80
  4. Step 4: Simplify right side
    224,085.80x = 32,836,096,865.58
  5. Step 5: Solve for x
    x = 32,836,096,865.58/224,085.80
  6. Step 6: Final answer
    x = 146,533.59

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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.