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Finding the Fourth Proportional to 106,855.72, 147,461.19 and 59,109.06

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Solution

The fourth proportional to 106,855.72, 147,461.19 and 59,109.06 is: 81,570.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,855.72 : 147,461.19 = 59,109.06 : x
  2. Step 2: Convert to fraction form
    106,855.72/147,461.19 = 59,109.06/x
  3. Step 3: Cross multiply
    106,855.72x = 147,461.19 × 59,109.06
  4. Step 4: Simplify right side
    106,855.72x = 8,716,292,327.38
  5. Step 5: Solve for x
    x = 8,716,292,327.38/106,855.72
  6. Step 6: Final answer
    x = 81,570.67

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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.