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Finding the Fourth Proportional to 106,570.58, 147,056.91 and 58,820.84

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Solution

The fourth proportional to 106,570.58, 147,056.91 and 58,820.84 is: 81,166.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,570.58 : 147,056.91 = 58,820.84 : x
  2. Step 2: Convert to fraction form
    106,570.58/147,056.91 = 58,820.84/x
  3. Step 3: Cross multiply
    106,570.58x = 147,056.91 × 58,820.84
  4. Step 4: Simplify right side
    106,570.58x = 8,650,010,238.72
  5. Step 5: Solve for x
    x = 8,650,010,238.72/106,570.58
  6. Step 6: Final answer
    x = 81,166.97

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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.