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Finding the Fourth Proportional to 194,459.82, 291,665.16 and 76,214.22

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Solution

The fourth proportional to 194,459.82, 291,665.16 and 76,214.22 is: 114,311.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,459.82 : 291,665.16 = 76,214.22 : x
  2. Step 2: Convert to fraction form
    194,459.82/291,665.16 = 76,214.22/x
  3. Step 3: Cross multiply
    194,459.82x = 291,665.16 × 76,214.22
  4. Step 4: Simplify right side
    194,459.82x = 22,229,032,670.58
  5. Step 5: Solve for x
    x = 22,229,032,670.58/194,459.82
  6. Step 6: Final answer
    x = 114,311.70

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1.5x scale

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.