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Finding the Fourth Proportional to 216,920.50, 325,473.86 and 83,894.10

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Solution

The fourth proportional to 216,920.50, 325,473.86 and 83,894.10 is: 125,877.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,920.50 : 325,473.86 = 83,894.10 : x
  2. Step 2: Convert to fraction form
    216,920.50/325,473.86 = 83,894.10/x
  3. Step 3: Cross multiply
    216,920.50x = 325,473.86 × 83,894.10
  4. Step 4: Simplify right side
    216,920.50x = 27,305,336,558.23
  5. Step 5: Solve for x
    x = 27,305,336,558.23/216,920.50
  6. Step 6: Final answer
    x = 125,877.16

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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.