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Finding the Fourth Proportional to 120,042.30, 165,705.03 and 107,445.18

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Solution

The fourth proportional to 120,042.30, 165,705.03 and 107,445.18 is: 148,316.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,042.30 : 165,705.03 = 107,445.18 : x
  2. Step 2: Convert to fraction form
    120,042.30/165,705.03 = 107,445.18/x
  3. Step 3: Cross multiply
    120,042.30x = 165,705.03 × 107,445.18
  4. Step 4: Simplify right side
    120,042.30x = 17,804,206,775.26
  5. Step 5: Solve for x
    x = 17,804,206,775.26/120,042.30
  6. Step 6: Final answer
    x = 148,316.11

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.