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Finding the Fourth Proportional to 194,686.56, 292,030.44 and 54,446.40

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Solution

The fourth proportional to 194,686.56, 292,030.44 and 54,446.40 is: 81,669.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,686.56 : 292,030.44 = 54,446.40 : x
  2. Step 2: Convert to fraction form
    194,686.56/292,030.44 = 54,446.40/x
  3. Step 3: Cross multiply
    194,686.56x = 292,030.44 × 54,446.40
  4. Step 4: Simplify right side
    194,686.56x = 15,900,006,148.42
  5. Step 5: Solve for x
    x = 15,900,006,148.42/194,686.56
  6. Step 6: Final answer
    x = 81,669.77

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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.