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Finding the Fourth Proportional to 119,441.58, 164,833.29 and 65,730.48

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Solution

The fourth proportional to 119,441.58, 164,833.29 and 65,730.48 is: 90,710.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,441.58 : 164,833.29 = 65,730.48 : x
  2. Step 2: Convert to fraction form
    119,441.58/164,833.29 = 65,730.48/x
  3. Step 3: Cross multiply
    119,441.58x = 164,833.29 × 65,730.48
  4. Step 4: Simplify right side
    119,441.58x = 10,834,571,271.68
  5. Step 5: Solve for x
    x = 10,834,571,271.68/119,441.58
  6. Step 6: Final answer
    x = 90,710.21

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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.