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Finding the Fourth Proportional to 312,194.46, 468,209.63 and 134,662.00

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Solution

The fourth proportional to 312,194.46, 468,209.63 and 134,662.00 is: 201,957.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,194.46 : 468,209.63 = 134,662.00 : x
  2. Step 2: Convert to fraction form
    312,194.46/468,209.63 = 134,662.00/x
  3. Step 3: Cross multiply
    312,194.46x = 468,209.63 × 134,662.00
  4. Step 4: Simplify right side
    312,194.46x = 63,050,042,854.01
  5. Step 5: Solve for x
    x = 63,050,042,854.01/312,194.46
  6. Step 6: Final answer
    x = 201,957.60

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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.