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Finding the Fourth Proportional to 116,268, 174,465 and 90,024

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Solution

The fourth proportional to 116,268, 174,465 and 90,024 is: 135,084.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,268 : 174,465 = 90,024 : x
  2. Step 2: Convert to fraction form
    116,268/174,465 = 90,024/x
  3. Step 3: Cross multiply
    116,268x = 174,465 × 90,024
  4. Step 4: Simplify right side
    116,268x = 15,706,037,160
  5. Step 5: Solve for x
    x = 15,706,037,160/116,268
  6. Step 6: Final answer
    x = 135,084.78

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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.