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Finding the Fourth Proportional to 270,215.98, 405,155.46 and 101,729.50

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Solution

The fourth proportional to 270,215.98, 405,155.46 and 101,729.50 is: 152,530.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,215.98 : 405,155.46 = 101,729.50 : x
  2. Step 2: Convert to fraction form
    270,215.98/405,155.46 = 101,729.50/x
  3. Step 3: Cross multiply
    270,215.98x = 405,155.46 × 101,729.50
  4. Step 4: Simplify right side
    270,215.98x = 41,216,262,368.07
  5. Step 5: Solve for x
    x = 41,216,262,368.07/270,215.98
  6. Step 6: Final answer
    x = 152,530.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.