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Finding the Fourth Proportional to 106,713.44, 147,264.90 and 58,315.35

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Solution

The fourth proportional to 106,713.44, 147,264.90 and 58,315.35 is: 80,475.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,713.44 : 147,264.90 = 58,315.35 : x
  2. Step 2: Convert to fraction form
    106,713.44/147,264.90 = 58,315.35/x
  3. Step 3: Cross multiply
    106,713.44x = 147,264.90 × 58,315.35
  4. Step 4: Simplify right side
    106,713.44x = 8,587,804,186.22
  5. Step 5: Solve for x
    x = 8,587,804,186.22/106,713.44
  6. Step 6: Final answer
    x = 80,475.38

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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.