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Finding the Fourth Proportional to 119,065.18, 178,606.41 and 35,965.66

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Solution

The fourth proportional to 119,065.18, 178,606.41 and 35,965.66 is: 53,951.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,065.18 : 178,606.41 = 35,965.66 : x
  2. Step 2: Convert to fraction form
    119,065.18/178,606.41 = 35,965.66/x
  3. Step 3: Cross multiply
    119,065.18x = 178,606.41 × 35,965.66
  4. Step 4: Simplify right side
    119,065.18x = 6,423,697,415.88
  5. Step 5: Solve for x
    x = 6,423,697,415.88/119,065.18
  6. Step 6: Final answer
    x = 53,951.10

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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.