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Finding the Fourth Proportional to 102,194.67, 153,248.26 and 35,615.10

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Solution

The fourth proportional to 102,194.67, 153,248.26 and 35,615.10 is: 53,407.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,194.67 : 153,248.26 = 35,615.10 : x
  2. Step 2: Convert to fraction form
    102,194.67/153,248.26 = 35,615.10/x
  3. Step 3: Cross multiply
    102,194.67x = 153,248.26 × 35,615.10
  4. Step 4: Simplify right side
    102,194.67x = 5,457,952,104.73
  5. Step 5: Solve for x
    x = 5,457,952,104.73/102,194.67
  6. Step 6: Final answer
    x = 53,407.40

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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.