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Finding the Fourth Proportional to 146,695.92, 202,439.16 and 83,033.16

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Solution

The fourth proportional to 146,695.92, 202,439.16 and 83,033.16 is: 114,585.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,695.92 : 202,439.16 = 83,033.16 : x
  2. Step 2: Convert to fraction form
    146,695.92/202,439.16 = 83,033.16/x
  3. Step 3: Cross multiply
    146,695.92x = 202,439.16 × 83,033.16
  4. Step 4: Simplify right side
    146,695.92x = 16,809,163,162.55
  5. Step 5: Solve for x
    x = 16,809,163,162.55/146,695.92
  6. Step 6: Final answer
    x = 114,585.08

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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.