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Finding the Fourth Proportional to 116,306.92, 160,491.62 and 65,325.32

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Solution

The fourth proportional to 116,306.92, 160,491.62 and 65,325.32 is: 90,142.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,306.92 : 160,491.62 = 65,325.32 : x
  2. Step 2: Convert to fraction form
    116,306.92/160,491.62 = 65,325.32/x
  3. Step 3: Cross multiply
    116,306.92x = 160,491.62 × 65,325.32
  4. Step 4: Simplify right side
    116,306.92x = 10,484,166,433.82
  5. Step 5: Solve for x
    x = 10,484,166,433.82/116,306.92
  6. Step 6: Final answer
    x = 90,142.24

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1.5x scale

Why These Related Problems?

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