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Finding the Fourth Proportional to 106,526.21, 147,006 and 58,779.54

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Solution

The fourth proportional to 106,526.21, 147,006 and 58,779.54 is: 81,115.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,526.21 : 147,006 = 58,779.54 : x
  2. Step 2: Convert to fraction form
    106,526.21/147,006 = 58,779.54/x
  3. Step 3: Cross multiply
    106,526.21x = 147,006 × 58,779.54
  4. Step 4: Simplify right side
    106,526.21x = 8,640,945,057.24
  5. Step 5: Solve for x
    x = 8,640,945,057.24/106,526.21
  6. Step 6: Final answer
    x = 81,115.68

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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.