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Finding the Fourth Proportional to 106,402.50, 159,784.54 and 71,090.74

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Solution

The fourth proportional to 106,402.50, 159,784.54 and 71,090.74 is: 106,756.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,402.50 : 159,784.54 = 71,090.74 : x
  2. Step 2: Convert to fraction form
    106,402.50/159,784.54 = 71,090.74/x
  3. Step 3: Cross multiply
    106,402.50x = 159,784.54 × 71,090.74
  4. Step 4: Simplify right side
    106,402.50x = 11,359,201,189.16
  5. Step 5: Solve for x
    x = 11,359,201,189.16/106,402.50
  6. Step 6: Final answer
    x = 106,756.90

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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.