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Finding the Fourth Proportional to 119,144.70, 178,444.86 and 56,858.94

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Solution

The fourth proportional to 119,144.70, 178,444.86 and 56,858.94 is: 85,158.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,144.70 : 178,444.86 = 56,858.94 : x
  2. Step 2: Convert to fraction form
    119,144.70/178,444.86 = 56,858.94/x
  3. Step 3: Cross multiply
    119,144.70x = 178,444.86 × 56,858.94
  4. Step 4: Simplify right side
    119,144.70x = 10,146,185,588.05
  5. Step 5: Solve for x
    x = 10,146,185,588.05/119,144.70
  6. Step 6: Final answer
    x = 85,158.51

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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.