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Finding the Fourth Proportional to 194,097.25, 291,146.01 and 53,856.01

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Solution

The fourth proportional to 194,097.25, 291,146.01 and 53,856.01 is: 80,784.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,097.25 : 291,146.01 = 53,856.01 : x
  2. Step 2: Convert to fraction form
    194,097.25/291,146.01 = 53,856.01/x
  3. Step 3: Cross multiply
    194,097.25x = 291,146.01 × 53,856.01
  4. Step 4: Simplify right side
    194,097.25x = 15,679,962,426.02
  5. Step 5: Solve for x
    x = 15,679,962,426.02/194,097.25
  6. Step 6: Final answer
    x = 80,784.05

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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.