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Finding the Fourth Proportional to 110,214.60, 165,321.90 and 70,848.60

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Solution

The fourth proportional to 110,214.60, 165,321.90 and 70,848.60 is: 106,272.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,214.60 : 165,321.90 = 70,848.60 : x
  2. Step 2: Convert to fraction form
    110,214.60/165,321.90 = 70,848.60/x
  3. Step 3: Cross multiply
    110,214.60x = 165,321.90 × 70,848.60
  4. Step 4: Simplify right side
    110,214.60x = 11,712,825,164.34
  5. Step 5: Solve for x
    x = 11,712,825,164.34/110,214.60
  6. Step 6: Final answer
    x = 106,272.90

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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.