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Finding the Fourth Proportional to 110,802.90, 165,970.35 and 73,380.90

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Solution

The fourth proportional to 110,802.90, 165,970.35 and 73,380.90 is: 109,916.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,802.90 : 165,970.35 = 73,380.90 : x
  2. Step 2: Convert to fraction form
    110,802.90/165,970.35 = 73,380.90/x
  3. Step 3: Cross multiply
    110,802.90x = 165,970.35 × 73,380.90
  4. Step 4: Simplify right side
    110,802.90x = 12,179,053,656.32
  5. Step 5: Solve for x
    x = 12,179,053,656.32/110,802.90
  6. Step 6: Final answer
    x = 109,916.38

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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.