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Finding the Fourth Proportional to 163,873.94, 245,835.10 and 83,957.11

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Solution

The fourth proportional to 163,873.94, 245,835.10 and 83,957.11 is: 125,948.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,873.94 : 245,835.10 = 83,957.11 : x
  2. Step 2: Convert to fraction form
    163,873.94/245,835.10 = 83,957.11/x
  3. Step 3: Cross multiply
    163,873.94x = 245,835.10 × 83,957.11
  4. Step 4: Simplify right side
    163,873.94x = 20,639,604,022.92
  5. Step 5: Solve for x
    x = 20,639,604,022.92/163,873.94
  6. Step 6: Final answer
    x = 125,948.06

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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.