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Finding the Fourth Proportional to 106,971.72, 147,622.14 and 59,225.91

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Solution

The fourth proportional to 106,971.72, 147,622.14 and 59,225.91 is: 81,732.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,971.72 : 147,622.14 = 59,225.91 : x
  2. Step 2: Convert to fraction form
    106,971.72/147,622.14 = 59,225.91/x
  3. Step 3: Cross multiply
    106,971.72x = 147,622.14 × 59,225.91
  4. Step 4: Simplify right side
    106,971.72x = 8,743,055,577.65
  5. Step 5: Solve for x
    x = 8,743,055,577.65/106,971.72
  6. Step 6: Final answer
    x = 81,732.40

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.