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Finding the Fourth Proportional to 194,658.84, 292,036.86 and 54,416.34

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Solution

The fourth proportional to 194,658.84, 292,036.86 and 54,416.34 is: 81,638.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,658.84 : 292,036.86 = 54,416.34 : x
  2. Step 2: Convert to fraction form
    194,658.84/292,036.86 = 54,416.34/x
  3. Step 3: Cross multiply
    194,658.84x = 292,036.86 × 54,416.34
  4. Step 4: Simplify right side
    194,658.84x = 15,891,577,066.29
  5. Step 5: Solve for x
    x = 15,891,577,066.29/194,658.84
  6. Step 6: Final answer
    x = 81,638.10

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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.