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Finding the Fourth Proportional to 158,383.32, 237,946.50 and 149,416.44

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Solution

The fourth proportional to 158,383.32, 237,946.50 and 149,416.44 is: 224,475.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,383.32 : 237,946.50 = 149,416.44 : x
  2. Step 2: Convert to fraction form
    158,383.32/237,946.50 = 149,416.44/x
  3. Step 3: Cross multiply
    158,383.32x = 237,946.50 × 149,416.44
  4. Step 4: Simplify right side
    158,383.32x = 35,553,118,940.46
  5. Step 5: Solve for x
    x = 35,553,118,940.46/158,383.32
  6. Step 6: Final answer
    x = 224,475.15

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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.