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Finding the Fourth Proportional to 137,232.95, 205,809.92 and 47,272.03

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Solution

The fourth proportional to 137,232.95, 205,809.92 and 47,272.03 is: 70,894.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,232.95 : 205,809.92 = 47,272.03 : x
  2. Step 2: Convert to fraction form
    137,232.95/205,809.92 = 47,272.03/x
  3. Step 3: Cross multiply
    137,232.95x = 205,809.92 × 47,272.03
  4. Step 4: Simplify right side
    137,232.95x = 9,729,051,961.65
  5. Step 5: Solve for x
    x = 9,729,051,961.65/137,232.95
  6. Step 6: Final answer
    x = 70,894.43

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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.