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Finding the Fourth Proportional to 116,782.40, 174,914.40 and 96,046.40

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Solution

The fourth proportional to 116,782.40, 174,914.40 and 96,046.40 is: 143,856.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,782.40 : 174,914.40 = 96,046.40 : x
  2. Step 2: Convert to fraction form
    116,782.40/174,914.40 = 96,046.40/x
  3. Step 3: Cross multiply
    116,782.40x = 174,914.40 × 96,046.40
  4. Step 4: Simplify right side
    116,782.40x = 16,799,898,428.16
  5. Step 5: Solve for x
    x = 16,799,898,428.16/116,782.40
  6. Step 6: Final answer
    x = 143,856.42

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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.