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Finding the Fourth Proportional to 176,808.40, 265,212.60 and 106,824.40

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Solution

The fourth proportional to 176,808.40, 265,212.60 and 106,824.40 is: 160,236.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,808.40 : 265,212.60 = 106,824.40 : x
  2. Step 2: Convert to fraction form
    176,808.40/265,212.60 = 106,824.40/x
  3. Step 3: Cross multiply
    176,808.40x = 265,212.60 × 106,824.40
  4. Step 4: Simplify right side
    176,808.40x = 28,331,176,867.44
  5. Step 5: Solve for x
    x = 28,331,176,867.44/176,808.40
  6. Step 6: Final answer
    x = 160,236.60

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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.