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Finding the Fourth Proportional to 116,989.92, 175,193.28 and 70,275.60

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Solution

The fourth proportional to 116,989.92, 175,193.28 and 70,275.60 is: 105,238.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,989.92 : 175,193.28 = 70,275.60 : x
  2. Step 2: Convert to fraction form
    116,989.92/175,193.28 = 70,275.60/x
  3. Step 3: Cross multiply
    116,989.92x = 175,193.28 × 70,275.60
  4. Step 4: Simplify right side
    116,989.92x = 12,311,812,867.97
  5. Step 5: Solve for x
    x = 12,311,812,867.97/116,989.92
  6. Step 6: Final answer
    x = 105,238.24

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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.