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Finding the Fourth Proportional to 194,729.40, 291,878.10 and 76,361.40

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Solution

The fourth proportional to 194,729.40, 291,878.10 and 76,361.40 is: 114,457.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,729.40 : 291,878.10 = 76,361.40 : x
  2. Step 2: Convert to fraction form
    194,729.40/291,878.10 = 76,361.40/x
  3. Step 3: Cross multiply
    194,729.40x = 291,878.10 × 76,361.40
  4. Step 4: Simplify right side
    194,729.40x = 22,288,220,345.34
  5. Step 5: Solve for x
    x = 22,288,220,345.34/194,729.40
  6. Step 6: Final answer
    x = 114,457.40

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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.