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Finding the Fourth Proportional to 106,760.88, 147,333.11 and 59,017.30

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Solution

The fourth proportional to 106,760.88, 147,333.11 and 59,017.30 is: 81,445.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,760.88 : 147,333.11 = 59,017.30 : x
  2. Step 2: Convert to fraction form
    106,760.88/147,333.11 = 59,017.30/x
  3. Step 3: Cross multiply
    106,760.88x = 147,333.11 × 59,017.30
  4. Step 4: Simplify right side
    106,760.88x = 8,695,201,689.38
  5. Step 5: Solve for x
    x = 8,695,201,689.38/106,760.88
  6. Step 6: Final answer
    x = 81,445.58

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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.