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Finding the Fourth Proportional to 144,902.70, 217,354.05 and 102,912.30

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Solution

The fourth proportional to 144,902.70, 217,354.05 and 102,912.30 is: 154,368.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,902.70 : 217,354.05 = 102,912.30 : x
  2. Step 2: Convert to fraction form
    144,902.70/217,354.05 = 102,912.30/x
  3. Step 3: Cross multiply
    144,902.70x = 217,354.05 × 102,912.30
  4. Step 4: Simplify right side
    144,902.70x = 22,368,405,199.82
  5. Step 5: Solve for x
    x = 22,368,405,199.82/144,902.70
  6. Step 6: Final answer
    x = 154,368.45

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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.