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Finding the Fourth Proportional to 105,816.69, 146,031.24 and 58,071.76

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Solution

The fourth proportional to 105,816.69, 146,031.24 and 58,071.76 is: 80,141.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,816.69 : 146,031.24 = 58,071.76 : x
  2. Step 2: Convert to fraction form
    105,816.69/146,031.24 = 58,071.76/x
  3. Step 3: Cross multiply
    105,816.69x = 146,031.24 × 58,071.76
  4. Step 4: Simplify right side
    105,816.69x = 8,480,291,121.78
  5. Step 5: Solve for x
    x = 8,480,291,121.78/105,816.69
  6. Step 6: Final answer
    x = 80,141.34

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.