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Finding the Fourth Proportional to 105,758.28, 145,946.52 and 58,012.56

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Solution

The fourth proportional to 105,758.28, 145,946.52 and 58,012.56 is: 80,057.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,758.28 : 145,946.52 = 58,012.56 : x
  2. Step 2: Convert to fraction form
    105,758.28/145,946.52 = 58,012.56/x
  3. Step 3: Cross multiply
    105,758.28x = 145,946.52 × 58,012.56
  4. Step 4: Simplify right side
    105,758.28x = 8,466,731,248.29
  5. Step 5: Solve for x
    x = 8,466,731,248.29/105,758.28
  6. Step 6: Final answer
    x = 80,057.38

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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.