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Finding the Fourth Proportional to 116,322.74, 160,516.44 and 65,319.16

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Solution

The fourth proportional to 116,322.74, 160,516.44 and 65,319.16 is: 90,135.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,322.74 : 160,516.44 = 65,319.16 : x
  2. Step 2: Convert to fraction form
    116,322.74/160,516.44 = 65,319.16/x
  3. Step 3: Cross multiply
    116,322.74x = 160,516.44 × 65,319.16
  4. Step 4: Simplify right side
    116,322.74x = 10,484,799,026.99
  5. Step 5: Solve for x
    x = 10,484,799,026.99/116,322.74
  6. Step 6: Final answer
    x = 90,135.42

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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.