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Finding the Fourth Proportional to 107,089.68, 147,782.58 and 58,692

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Solution

The fourth proportional to 107,089.68, 147,782.58 and 58,692 is: 80,994.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,089.68 : 147,782.58 = 58,692 : x
  2. Step 2: Convert to fraction form
    107,089.68/147,782.58 = 58,692/x
  3. Step 3: Cross multiply
    107,089.68x = 147,782.58 × 58,692
  4. Step 4: Simplify right side
    107,089.68x = 8,673,655,185.36
  5. Step 5: Solve for x
    x = 8,673,655,185.36/107,089.68
  6. Step 6: Final answer
    x = 80,994.31

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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.