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Finding the Fourth Proportional to 144,287.91, 216,431.86 and 39,106.88

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Solution

The fourth proportional to 144,287.91, 216,431.86 and 39,106.88 is: 58,660.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,287.91 : 216,431.86 = 39,106.88 : x
  2. Step 2: Convert to fraction form
    144,287.91/216,431.86 = 39,106.88/x
  3. Step 3: Cross multiply
    144,287.91x = 216,431.86 × 39,106.88
  4. Step 4: Simplify right side
    144,287.91x = 8,463,973,499.50
  5. Step 5: Solve for x
    x = 8,463,973,499.50/144,287.91
  6. Step 6: Final answer
    x = 58,660.31

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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.