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Finding the Fourth Proportional to 110,208.60, 165,312.90 and 70,842.60

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Solution

The fourth proportional to 110,208.60, 165,312.90 and 70,842.60 is: 106,263.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,208.60 : 165,312.90 = 70,842.60 : x
  2. Step 2: Convert to fraction form
    110,208.60/165,312.90 = 70,842.60/x
  3. Step 3: Cross multiply
    110,208.60x = 165,312.90 × 70,842.60
  4. Step 4: Simplify right side
    110,208.60x = 11,711,195,649.54
  5. Step 5: Solve for x
    x = 11,711,195,649.54/110,208.60
  6. Step 6: Final answer
    x = 106,263.90

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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.