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Finding the Fourth Proportional to 125,546.40, 188,319.60 and 46,644.30

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Solution

The fourth proportional to 125,546.40, 188,319.60 and 46,644.30 is: 69,966.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,546.40 : 188,319.60 = 46,644.30 : x
  2. Step 2: Convert to fraction form
    125,546.40/188,319.60 = 46,644.30/x
  3. Step 3: Cross multiply
    125,546.40x = 188,319.60 × 46,644.30
  4. Step 4: Simplify right side
    125,546.40x = 8,784,035,918.28
  5. Step 5: Solve for x
    x = 8,784,035,918.28/125,546.40
  6. Step 6: Final answer
    x = 69,966.45

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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.