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Finding the Fourth Proportional to 216,734.34, 325,194.53 and 83,708.01

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Solution

The fourth proportional to 216,734.34, 325,194.53 and 83,708.01 is: 125,597.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,734.34 : 325,194.53 = 83,708.01 : x
  2. Step 2: Convert to fraction form
    216,734.34/325,194.53 = 83,708.01/x
  3. Step 3: Cross multiply
    216,734.34x = 325,194.53 × 83,708.01
  4. Step 4: Simplify right side
    216,734.34x = 27,221,386,550.65
  5. Step 5: Solve for x
    x = 27,221,386,550.65/216,734.34
  6. Step 6: Final answer
    x = 125,597.94

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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.