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Finding the Fourth Proportional to 144,518.77, 216,497.61 and 106,499.03

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Solution

The fourth proportional to 144,518.77, 216,497.61 and 106,499.03 is: 159,541.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,518.77 : 216,497.61 = 106,499.03 : x
  2. Step 2: Convert to fraction form
    144,518.77/216,497.61 = 106,499.03/x
  3. Step 3: Cross multiply
    144,518.77x = 216,497.61 × 106,499.03
  4. Step 4: Simplify right side
    144,518.77x = 23,056,784,379.83
  5. Step 5: Solve for x
    x = 23,056,784,379.83/144,518.77
  6. Step 6: Final answer
    x = 159,541.80

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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.