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Finding the Fourth Proportional to 106,911.63, 147,536.10 and 59,164.97

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Solution

The fourth proportional to 106,911.63, 147,536.10 and 59,164.97 is: 81,646.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,911.63 : 147,536.10 = 59,164.97 : x
  2. Step 2: Convert to fraction form
    106,911.63/147,536.10 = 59,164.97/x
  3. Step 3: Cross multiply
    106,911.63x = 147,536.10 × 59,164.97
  4. Step 4: Simplify right side
    106,911.63x = 8,728,968,192.74
  5. Step 5: Solve for x
    x = 8,728,968,192.74/106,911.63
  6. Step 6: Final answer
    x = 81,646.57

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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.