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Finding the Fourth Proportional to 116,509.77, 160,450.74 and 104,926.05

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Solution

The fourth proportional to 116,509.77, 160,450.74 and 104,926.05 is: 144,498.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,509.77 : 160,450.74 = 104,926.05 : x
  2. Step 2: Convert to fraction form
    116,509.77/160,450.74 = 104,926.05/x
  3. Step 3: Cross multiply
    116,509.77x = 160,450.74 × 104,926.05
  4. Step 4: Simplify right side
    116,509.77x = 16,835,462,367.78
  5. Step 5: Solve for x
    x = 16,835,462,367.78/116,509.77
  6. Step 6: Final answer
    x = 144,498.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.