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Finding the Fourth Proportional to 287,194.20, 430,877.70 and 154,138.20

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Solution

The fourth proportional to 287,194.20, 430,877.70 and 154,138.20 is: 231,253.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,194.20 : 430,877.70 = 154,138.20 : x
  2. Step 2: Convert to fraction form
    287,194.20/430,877.70 = 154,138.20/x
  3. Step 3: Cross multiply
    287,194.20x = 430,877.70 × 154,138.20
  4. Step 4: Simplify right side
    287,194.20x = 66,414,713,098.14
  5. Step 5: Solve for x
    x = 66,414,713,098.14/287,194.20
  6. Step 6: Final answer
    x = 231,253.67

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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.