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Finding the Fourth Proportional to 194,274.27, 291,427.80 and 54,032.89

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Solution

The fourth proportional to 194,274.27, 291,427.80 and 54,032.89 is: 81,053.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,274.27 : 291,427.80 = 54,032.89 : x
  2. Step 2: Convert to fraction form
    194,274.27/291,427.80 = 54,032.89/x
  3. Step 3: Cross multiply
    194,274.27x = 291,427.80 × 54,032.89
  4. Step 4: Simplify right side
    194,274.27x = 15,746,686,510.03
  5. Step 5: Solve for x
    x = 15,746,686,510.03/194,274.27
  6. Step 6: Final answer
    x = 81,053.90

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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.