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Finding the Fourth Proportional to 200,779.40, 277,084.26 and 120,191.34

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Solution

The fourth proportional to 200,779.40, 277,084.26 and 120,191.34 is: 165,869.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,779.40 : 277,084.26 = 120,191.34 : x
  2. Step 2: Convert to fraction form
    200,779.40/277,084.26 = 120,191.34/x
  3. Step 3: Cross multiply
    200,779.40x = 277,084.26 × 120,191.34
  4. Step 4: Simplify right side
    200,779.40x = 33,303,128,502.31
  5. Step 5: Solve for x
    x = 33,303,128,502.31/200,779.40
  6. Step 6: Final answer
    x = 165,869.25

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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.