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Finding the Fourth Proportional to 116,434.66, 160,585.84 and 78,182.68

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Solution

The fourth proportional to 116,434.66, 160,585.84 and 78,182.68 is: 107,828.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,434.66 : 160,585.84 = 78,182.68 : x
  2. Step 2: Convert to fraction form
    116,434.66/160,585.84 = 78,182.68/x
  3. Step 3: Cross multiply
    116,434.66x = 160,585.84 × 78,182.68
  4. Step 4: Simplify right side
    116,434.66x = 12,555,031,341.25
  5. Step 5: Solve for x
    x = 12,555,031,341.25/116,434.66
  6. Step 6: Final answer
    x = 107,828.99

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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.