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Finding the Fourth Proportional to 116,966.40, 175,190.40 and 96,230.40

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Solution

The fourth proportional to 116,966.40, 175,190.40 and 96,230.40 is: 144,132.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,966.40 : 175,190.40 = 96,230.40 : x
  2. Step 2: Convert to fraction form
    116,966.40/175,190.40 = 96,230.40/x
  3. Step 3: Cross multiply
    116,966.40x = 175,190.40 × 96,230.40
  4. Step 4: Simplify right side
    116,966.40x = 16,858,642,268.16
  5. Step 5: Solve for x
    x = 16,858,642,268.16/116,966.40
  6. Step 6: Final answer
    x = 144,132.35

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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.