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Finding the Fourth Proportional to 110,506.60, 165,564.70 and 106,852.20

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Solution

The fourth proportional to 110,506.60, 165,564.70 and 106,852.20 is: 160,089.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,506.60 : 165,564.70 = 106,852.20 : x
  2. Step 2: Convert to fraction form
    110,506.60/165,564.70 = 106,852.20/x
  3. Step 3: Cross multiply
    110,506.60x = 165,564.70 × 106,852.20
  4. Step 4: Simplify right side
    110,506.60x = 17,690,952,437.34
  5. Step 5: Solve for x
    x = 17,690,952,437.34/110,506.60
  6. Step 6: Final answer
    x = 160,089.56

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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.