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Finding the Fourth Proportional to 208,587.52, 312,133.83 and 180,604.09

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Solution

The fourth proportional to 208,587.52, 312,133.83 and 180,604.09 is: 270,258.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,587.52 : 312,133.83 = 180,604.09 : x
  2. Step 2: Convert to fraction form
    208,587.52/312,133.83 = 180,604.09/x
  3. Step 3: Cross multiply
    208,587.52x = 312,133.83 × 180,604.09
  4. Step 4: Simplify right side
    208,587.52x = 56,372,646,325.36
  5. Step 5: Solve for x
    x = 56,372,646,325.36/208,587.52
  6. Step 6: Final answer
    x = 270,258.96

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1.5x scale

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.