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Finding the Fourth Proportional to 132,811.82, 183,459.80 and 106,141.26

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Solution

The fourth proportional to 132,811.82, 183,459.80 and 106,141.26 is: 146,618.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,811.82 : 183,459.80 = 106,141.26 : x
  2. Step 2: Convert to fraction form
    132,811.82/183,459.80 = 106,141.26/x
  3. Step 3: Cross multiply
    132,811.82x = 183,459.80 × 106,141.26
  4. Step 4: Simplify right side
    132,811.82x = 19,472,653,148.70
  5. Step 5: Solve for x
    x = 19,472,653,148.70/132,811.82
  6. Step 6: Final answer
    x = 146,618.38

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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.