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Finding the Fourth Proportional to 194,506.32, 291,808.66 and 54,264.84

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Solution

The fourth proportional to 194,506.32, 291,808.66 and 54,264.84 is: 81,410.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,506.32 : 291,808.66 = 54,264.84 : x
  2. Step 2: Convert to fraction form
    194,506.32/291,808.66 = 54,264.84/x
  3. Step 3: Cross multiply
    194,506.32x = 291,808.66 × 54,264.84
  4. Step 4: Simplify right side
    194,506.32x = 15,834,950,245.51
  5. Step 5: Solve for x
    x = 15,834,950,245.51/194,506.32
  6. Step 6: Final answer
    x = 81,410.98

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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.