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Finding the Fourth Proportional to 144,693.60, 217,011.60 and 69,813.60

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Solution

The fourth proportional to 144,693.60, 217,011.60 and 69,813.60 is: 104,706.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,693.60 : 217,011.60 = 69,813.60 : x
  2. Step 2: Convert to fraction form
    144,693.60/217,011.60 = 69,813.60/x
  3. Step 3: Cross multiply
    144,693.60x = 217,011.60 × 69,813.60
  4. Step 4: Simplify right side
    144,693.60x = 15,150,361,037.76
  5. Step 5: Solve for x
    x = 15,150,361,037.76/144,693.60
  6. Step 6: Final answer
    x = 104,706.50

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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.