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Finding the Fourth Proportional to 194,097.42, 291,146.04 and 53,856

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Solution

The fourth proportional to 194,097.42, 291,146.04 and 53,856 is: 80,783.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,097.42 : 291,146.04 = 53,856 : x
  2. Step 2: Convert to fraction form
    194,097.42/291,146.04 = 53,856/x
  3. Step 3: Cross multiply
    194,097.42x = 291,146.04 × 53,856
  4. Step 4: Simplify right side
    194,097.42x = 15,679,961,130.24
  5. Step 5: Solve for x
    x = 15,679,961,130.24/194,097.42
  6. Step 6: Final answer
    x = 80,783.98

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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.