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Finding the Fourth Proportional to 144,678.53, 217,157.57 and 69,851.24

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Solution

The fourth proportional to 144,678.53, 217,157.57 and 69,851.24 is: 104,844.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,678.53 : 217,157.57 = 69,851.24 : x
  2. Step 2: Convert to fraction form
    144,678.53/217,157.57 = 69,851.24/x
  3. Step 3: Cross multiply
    144,678.53x = 217,157.57 × 69,851.24
  4. Step 4: Simplify right side
    144,678.53x = 15,168,724,628.73
  5. Step 5: Solve for x
    x = 15,168,724,628.73/144,678.53
  6. Step 6: Final answer
    x = 104,844.34

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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.