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Finding the Fourth Proportional to 118,871.10, 178,047.45 and 105,738.30

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Solution

The fourth proportional to 118,871.10, 178,047.45 and 105,738.30 is: 158,376.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,871.10 : 178,047.45 = 105,738.30 : x
  2. Step 2: Convert to fraction form
    118,871.10/178,047.45 = 105,738.30/x
  3. Step 3: Cross multiply
    118,871.10x = 178,047.45 × 105,738.30
  4. Step 4: Simplify right side
    118,871.10x = 18,826,434,682.34
  5. Step 5: Solve for x
    x = 18,826,434,682.34/118,871.10
  6. Step 6: Final answer
    x = 158,376.89

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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.