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Finding the Fourth Proportional to 116,049.72, 160,148.34 and 65,748.72

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Solution

The fourth proportional to 116,049.72, 160,148.34 and 65,748.72 is: 90,733.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,049.72 : 160,148.34 = 65,748.72 : x
  2. Step 2: Convert to fraction form
    116,049.72/160,148.34 = 65,748.72/x
  3. Step 3: Cross multiply
    116,049.72x = 160,148.34 × 65,748.72
  4. Step 4: Simplify right side
    116,049.72x = 10,529,548,365.12
  5. Step 5: Solve for x
    x = 10,529,548,365.12/116,049.72
  6. Step 6: Final answer
    x = 90,733.08

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.