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Finding the Fourth Proportional to 194,154.24, 291,237.76 and 53,914.24

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Solution

The fourth proportional to 194,154.24, 291,237.76 and 53,914.24 is: 80,873.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,154.24 : 291,237.76 = 53,914.24 : x
  2. Step 2: Convert to fraction form
    194,154.24/291,237.76 = 53,914.24/x
  3. Step 3: Cross multiply
    194,154.24x = 291,237.76 × 53,914.24
  4. Step 4: Simplify right side
    194,154.24x = 15,701,862,489.70
  5. Step 5: Solve for x
    x = 15,701,862,489.70/194,154.24
  6. Step 6: Final answer
    x = 80,873.14

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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.