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Finding the Fourth Proportional to 176,770.80, 265,023.66 and 106,633.68

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Solution

The fourth proportional to 176,770.80, 265,023.66 and 106,633.68 is: 159,870.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,770.80 : 265,023.66 = 106,633.68 : x
  2. Step 2: Convert to fraction form
    176,770.80/265,023.66 = 106,633.68/x
  3. Step 3: Cross multiply
    176,770.80x = 265,023.66 × 106,633.68
  4. Step 4: Simplify right side
    176,770.80x = 28,260,448,152.87
  5. Step 5: Solve for x
    x = 28,260,448,152.87/176,770.80
  6. Step 6: Final answer
    x = 159,870.57

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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.