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Finding the Fourth Proportional to 129,897, 194,282.62 and 76,461.64

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Solution

The fourth proportional to 129,897, 194,282.62 and 76,461.64 is: 114,361.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,897 : 194,282.62 = 76,461.64 : x
  2. Step 2: Convert to fraction form
    129,897/194,282.62 = 76,461.64/x
  3. Step 3: Cross multiply
    129,897x = 194,282.62 × 76,461.64
  4. Step 4: Simplify right side
    129,897x = 14,855,167,071.84
  5. Step 5: Solve for x
    x = 14,855,167,071.84/129,897
  6. Step 6: Final answer
    x = 114,361.13

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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.