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Finding the Fourth Proportional to 194,534.64, 291,804.84 and 54,294

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Solution

The fourth proportional to 194,534.64, 291,804.84 and 54,294 is: 81,441.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,534.64 : 291,804.84 = 54,294 : x
  2. Step 2: Convert to fraction form
    194,534.64/291,804.84 = 54,294/x
  3. Step 3: Cross multiply
    194,534.64x = 291,804.84 × 54,294
  4. Step 4: Simplify right side
    194,534.64x = 15,843,251,982.96
  5. Step 5: Solve for x
    x = 15,843,251,982.96/194,534.64
  6. Step 6: Final answer
    x = 81,441.80

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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.