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Finding the Fourth Proportional to 101,264.58, 151,899.30 and 31,144.50

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Solution

The fourth proportional to 101,264.58, 151,899.30 and 31,144.50 is: 46,717.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,264.58 : 151,899.30 = 31,144.50 : x
  2. Step 2: Convert to fraction form
    101,264.58/151,899.30 = 31,144.50/x
  3. Step 3: Cross multiply
    101,264.58x = 151,899.30 × 31,144.50
  4. Step 4: Simplify right side
    101,264.58x = 4,730,827,748.85
  5. Step 5: Solve for x
    x = 4,730,827,748.85/101,264.58
  6. Step 6: Final answer
    x = 46,717.50

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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.