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Finding the Fourth Proportional to 252,268.80, 348,133.66 and 137,546.50

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Solution

The fourth proportional to 252,268.80, 348,133.66 and 137,546.50 is: 189,815.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,268.80 : 348,133.66 = 137,546.50 : x
  2. Step 2: Convert to fraction form
    252,268.80/348,133.66 = 137,546.50/x
  3. Step 3: Cross multiply
    252,268.80x = 348,133.66 × 137,546.50
  4. Step 4: Simplify right side
    252,268.80x = 47,884,566,465.19
  5. Step 5: Solve for x
    x = 47,884,566,465.19/252,268.80
  6. Step 6: Final answer
    x = 189,815.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.