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Finding the Fourth Proportional to 116,320.74, 160,513.68 and 65,317.16

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Solution

The fourth proportional to 116,320.74, 160,513.68 and 65,317.16 is: 90,132.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,320.74 : 160,513.68 = 65,317.16 : x
  2. Step 2: Convert to fraction form
    116,320.74/160,513.68 = 65,317.16/x
  3. Step 3: Cross multiply
    116,320.74x = 160,513.68 × 65,317.16
  4. Step 4: Simplify right side
    116,320.74x = 10,484,297,718.75
  5. Step 5: Solve for x
    x = 10,484,297,718.75/116,320.74
  6. Step 6: Final answer
    x = 90,132.66

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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.