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Finding the Fourth Proportional to 146,802.87, 202,590.63 and 83,153.88

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Solution

The fourth proportional to 146,802.87, 202,590.63 and 83,153.88 is: 114,753.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,802.87 : 202,590.63 = 83,153.88 : x
  2. Step 2: Convert to fraction form
    146,802.87/202,590.63 = 83,153.88/x
  3. Step 3: Cross multiply
    146,802.87x = 202,590.63 × 83,153.88
  4. Step 4: Simplify right side
    146,802.87x = 16,846,196,936.14
  5. Step 5: Solve for x
    x = 16,846,196,936.14/146,802.87
  6. Step 6: Final answer
    x = 114,753.87

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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.