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Finding the Fourth Proportional to 106,509.60, 146,983.26 and 58,763.06

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Solution

The fourth proportional to 106,509.60, 146,983.26 and 58,763.06 is: 81,093.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,509.60 : 146,983.26 = 58,763.06 : x
  2. Step 2: Convert to fraction form
    106,509.60/146,983.26 = 58,763.06/x
  3. Step 3: Cross multiply
    106,509.60x = 146,983.26 × 58,763.06
  4. Step 4: Simplify right side
    106,509.60x = 8,637,186,126.38
  5. Step 5: Solve for x
    x = 8,637,186,126.38/106,509.60
  6. Step 6: Final answer
    x = 81,093.03

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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.