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Finding the Fourth Proportional to 125,809.28, 188,725.80 and 41,570

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Solution

The fourth proportional to 125,809.28, 188,725.80 and 41,570 is: 62,358.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,809.28 : 188,725.80 = 41,570 : x
  2. Step 2: Convert to fraction form
    125,809.28/188,725.80 = 41,570/x
  3. Step 3: Cross multiply
    125,809.28x = 188,725.80 × 41,570
  4. Step 4: Simplify right side
    125,809.28x = 7,845,331,506.00
  5. Step 5: Solve for x
    x = 7,845,331,506.00/125,809.28
  6. Step 6: Final answer
    x = 62,358.93

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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.