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Finding the Fourth Proportional to 106,507.56, 159,488.06 and 103,354.36

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Solution

The fourth proportional to 106,507.56, 159,488.06 and 103,354.36 is: 154,766.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,507.56 : 159,488.06 = 103,354.36 : x
  2. Step 2: Convert to fraction form
    106,507.56/159,488.06 = 103,354.36/x
  3. Step 3: Cross multiply
    106,507.56x = 159,488.06 × 103,354.36
  4. Step 4: Simplify right side
    106,507.56x = 16,483,786,368.94
  5. Step 5: Solve for x
    x = 16,483,786,368.94/106,507.56
  6. Step 6: Final answer
    x = 154,766.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.