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Finding the Fourth Proportional to 119,012.88, 164,103.12 and 75,934.74

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Solution

The fourth proportional to 119,012.88, 164,103.12 and 75,934.74 is: 104,704.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,012.88 : 164,103.12 = 75,934.74 : x
  2. Step 2: Convert to fraction form
    119,012.88/164,103.12 = 75,934.74/x
  3. Step 3: Cross multiply
    119,012.88x = 164,103.12 × 75,934.74
  4. Step 4: Simplify right side
    119,012.88x = 12,461,127,750.39
  5. Step 5: Solve for x
    x = 12,461,127,750.39/119,012.88
  6. Step 6: Final answer
    x = 104,704.03

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.