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Finding the Fourth Proportional to 116,022.65, 160,054.29 and 75,717.77

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Solution

The fourth proportional to 116,022.65, 160,054.29 and 75,717.77 is: 104,453.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,022.65 : 160,054.29 = 75,717.77 : x
  2. Step 2: Convert to fraction form
    116,022.65/160,054.29 = 75,717.77/x
  3. Step 3: Cross multiply
    116,022.65x = 160,054.29 × 75,717.77
  4. Step 4: Simplify right side
    116,022.65x = 12,118,953,117.46
  5. Step 5: Solve for x
    x = 12,118,953,117.46/116,022.65
  6. Step 6: Final answer
    x = 104,453.34

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