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Finding the Fourth Proportional to 106,751.70, 147,315.24 and 59,007.06

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Solution

The fourth proportional to 106,751.70, 147,315.24 and 59,007.06 is: 81,428.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,751.70 : 147,315.24 = 59,007.06 : x
  2. Step 2: Convert to fraction form
    106,751.70/147,315.24 = 59,007.06/x
  3. Step 3: Cross multiply
    106,751.70x = 147,315.24 × 59,007.06
  4. Step 4: Simplify right side
    106,751.70x = 8,692,639,205.59
  5. Step 5: Solve for x
    x = 8,692,639,205.59/106,751.70
  6. Step 6: Final answer
    x = 81,428.58

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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.