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Finding the Fourth Proportional to 146,702.68, 202,454.52 and 83,039.11

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Solution

The fourth proportional to 146,702.68, 202,454.52 and 83,039.11 is: 114,596.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,702.68 : 202,454.52 = 83,039.11 : x
  2. Step 2: Convert to fraction form
    146,702.68/202,454.52 = 83,039.11/x
  3. Step 3: Cross multiply
    146,702.68x = 202,454.52 × 83,039.11
  4. Step 4: Simplify right side
    146,702.68x = 16,811,643,156.28
  5. Step 5: Solve for x
    x = 16,811,643,156.28/146,702.68
  6. Step 6: Final answer
    x = 114,596.70

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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.