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Finding the Fourth Proportional to 106,978.40, 160,525.20 and 47,823.20

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Solution

The fourth proportional to 106,978.40, 160,525.20 and 47,823.20 is: 71,760.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,978.40 : 160,525.20 = 47,823.20 : x
  2. Step 2: Convert to fraction form
    106,978.40/160,525.20 = 47,823.20/x
  3. Step 3: Cross multiply
    106,978.40x = 160,525.20 × 47,823.20
  4. Step 4: Simplify right side
    106,978.40x = 7,676,828,744.64
  5. Step 5: Solve for x
    x = 7,676,828,744.64/106,978.40
  6. Step 6: Final answer
    x = 71,760.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.