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Finding the Fourth Proportional to 118,225.80, 176,826.70 and 105,835.40

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Solution

The fourth proportional to 118,225.80, 176,826.70 and 105,835.40 is: 158,294.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,225.80 : 176,826.70 = 105,835.40 : x
  2. Step 2: Convert to fraction form
    118,225.80/176,826.70 = 105,835.40/x
  3. Step 3: Cross multiply
    118,225.80x = 176,826.70 × 105,835.40
  4. Step 4: Simplify right side
    118,225.80x = 18,714,524,525.18
  5. Step 5: Solve for x
    x = 18,714,524,525.18/118,225.80
  6. Step 6: Final answer
    x = 158,294.76

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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.