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Finding the Fourth Proportional to 106,490.59, 146,957.03 and 58,744.06

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Solution

The fourth proportional to 106,490.59, 146,957.03 and 58,744.06 is: 81,066.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,490.59 : 146,957.03 = 58,744.06 : x
  2. Step 2: Convert to fraction form
    106,490.59/146,957.03 = 58,744.06/x
  3. Step 3: Cross multiply
    106,490.59x = 146,957.03 × 58,744.06
  4. Step 4: Simplify right side
    106,490.59x = 8,632,852,587.74
  5. Step 5: Solve for x
    x = 8,632,852,587.74/106,490.59
  6. Step 6: Final answer
    x = 81,066.81

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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.