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Finding the Fourth Proportional to 146,863.59, 202,681.77 and 83,201.91

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Solution

The fourth proportional to 146,863.59, 202,681.77 and 83,201.91 is: 114,824.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,863.59 : 202,681.77 = 83,201.91 : x
  2. Step 2: Convert to fraction form
    146,863.59/202,681.77 = 83,201.91/x
  3. Step 3: Cross multiply
    146,863.59x = 202,681.77 × 83,201.91
  4. Step 4: Simplify right side
    146,863.59x = 16,863,510,386.18
  5. Step 5: Solve for x
    x = 16,863,510,386.18/146,863.59
  6. Step 6: Final answer
    x = 114,824.31

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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.