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Finding the Fourth Proportional to 116,002.01, 160,094.00 and 65,023.40

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Solution

The fourth proportional to 116,002.01, 160,094.00 and 65,023.40 is: 89,738.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,002.01 : 160,094.00 = 65,023.40 : x
  2. Step 2: Convert to fraction form
    116,002.01/160,094.00 = 65,023.40/x
  3. Step 3: Cross multiply
    116,002.01x = 160,094.00 × 65,023.40
  4. Step 4: Simplify right side
    116,002.01x = 10,409,855,561.69
  5. Step 5: Solve for x
    x = 10,409,855,561.69/116,002.01
  6. Step 6: Final answer
    x = 89,738.58

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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.