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Finding the Fourth Proportional to 125,809.09, 188,570.56 and 65,744.95

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Solution

The fourth proportional to 125,809.09, 188,570.56 and 65,744.95 is: 98,542.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,809.09 : 188,570.56 = 65,744.95 : x
  2. Step 2: Convert to fraction form
    125,809.09/188,570.56 = 65,744.95/x
  3. Step 3: Cross multiply
    125,809.09x = 188,570.56 × 65,744.95
  4. Step 4: Simplify right side
    125,809.09x = 12,397,562,038.67
  5. Step 5: Solve for x
    x = 12,397,562,038.67/125,809.09
  6. Step 6: Final answer
    x = 98,542.66

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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.