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Finding the Fourth Proportional to 119,495.31, 164,902.19 and 65,779.14

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Solution

The fourth proportional to 119,495.31, 164,902.19 and 65,779.14 is: 90,774.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,495.31 : 164,902.19 = 65,779.14 : x
  2. Step 2: Convert to fraction form
    119,495.31/164,902.19 = 65,779.14/x
  3. Step 3: Cross multiply
    119,495.31x = 164,902.19 × 65,779.14
  4. Step 4: Simplify right side
    119,495.31x = 10,847,124,242.32
  5. Step 5: Solve for x
    x = 10,847,124,242.32/119,495.31
  6. Step 6: Final answer
    x = 90,774.48

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Why These Related Problems?

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