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Finding the Fourth Proportional to 299,684.87, 449,527.59 and 83,534.96

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Solution

The fourth proportional to 299,684.87, 449,527.59 and 83,534.96 is: 125,302.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,684.87 : 449,527.59 = 83,534.96 : x
  2. Step 2: Convert to fraction form
    299,684.87/449,527.59 = 83,534.96/x
  3. Step 3: Cross multiply
    299,684.87x = 449,527.59 × 83,534.96
  4. Step 4: Simplify right side
    299,684.87x = 37,551,268,831.87
  5. Step 5: Solve for x
    x = 37,551,268,831.87/299,684.87
  6. Step 6: Final answer
    x = 125,302.52

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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.