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Finding the Fourth Proportional to 110,140, 165,209.44 and 31,254.36

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Solution

The fourth proportional to 110,140, 165,209.44 and 31,254.36 is: 46,881.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,140 : 165,209.44 = 31,254.36 : x
  2. Step 2: Convert to fraction form
    110,140/165,209.44 = 31,254.36/x
  3. Step 3: Cross multiply
    110,140x = 165,209.44 × 31,254.36
  4. Step 4: Simplify right side
    110,140x = 5,163,515,313.16
  5. Step 5: Solve for x
    x = 5,163,515,313.16/110,140
  6. Step 6: Final answer
    x = 46,881.38

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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.