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Finding the Fourth Proportional to 205,720.30, 283,779.66 and 119,669.60

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Solution

The fourth proportional to 205,720.30, 283,779.66 and 119,669.60 is: 165,077.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,720.30 : 283,779.66 = 119,669.60 : x
  2. Step 2: Convert to fraction form
    205,720.30/283,779.66 = 119,669.60/x
  3. Step 3: Cross multiply
    205,720.30x = 283,779.66 × 119,669.60
  4. Step 4: Simplify right side
    205,720.30x = 33,959,798,400.34
  5. Step 5: Solve for x
    x = 33,959,798,400.34/205,720.30
  6. Step 6: Final answer
    x = 165,077.53

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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.