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Finding the Fourth Proportional to 282,638.82, 390,040.38 and 161,779.50

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Solution

The fourth proportional to 282,638.82, 390,040.38 and 161,779.50 is: 223,255.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,638.82 : 390,040.38 = 161,779.50 : x
  2. Step 2: Convert to fraction form
    282,638.82/390,040.38 = 161,779.50/x
  3. Step 3: Cross multiply
    282,638.82x = 390,040.38 × 161,779.50
  4. Step 4: Simplify right side
    282,638.82x = 63,100,537,656.21
  5. Step 5: Solve for x
    x = 63,100,537,656.21/282,638.82
  6. Step 6: Final answer
    x = 223,255.03

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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.