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Finding the Fourth Proportional to 194,491.12, 291,266.40 and 160,964.40

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Solution

The fourth proportional to 194,491.12, 291,266.40 and 160,964.40 is: 241,057.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,491.12 : 291,266.40 = 160,964.40 : x
  2. Step 2: Convert to fraction form
    194,491.12/291,266.40 = 160,964.40/x
  3. Step 3: Cross multiply
    194,491.12x = 291,266.40 × 160,964.40
  4. Step 4: Simplify right side
    194,491.12x = 46,883,521,316.16
  5. Step 5: Solve for x
    x = 46,883,521,316.16/194,491.12
  6. Step 6: Final answer
    x = 241,057.39

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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.