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Finding the Fourth Proportional to 194,005.80, 291,227.40 and 149,828.40

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Solution

The fourth proportional to 194,005.80, 291,227.40 and 149,828.40 is: 224,911.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,005.80 : 291,227.40 = 149,828.40 : x
  2. Step 2: Convert to fraction form
    194,005.80/291,227.40 = 149,828.40/x
  3. Step 3: Cross multiply
    194,005.80x = 291,227.40 × 149,828.40
  4. Step 4: Simplify right side
    194,005.80x = 43,634,135,378.16
  5. Step 5: Solve for x
    x = 43,634,135,378.16/194,005.80
  6. Step 6: Final answer
    x = 224,911.50

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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.