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Finding the Fourth Proportional to 205,365.40, 307,817.70 and 87,016.60

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Solution

The fourth proportional to 205,365.40, 307,817.70 and 87,016.60 is: 130,427.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,365.40 : 307,817.70 = 87,016.60 : x
  2. Step 2: Convert to fraction form
    205,365.40/307,817.70 = 87,016.60/x
  3. Step 3: Cross multiply
    205,365.40x = 307,817.70 × 87,016.60
  4. Step 4: Simplify right side
    205,365.40x = 26,785,249,673.82
  5. Step 5: Solve for x
    x = 26,785,249,673.82/205,365.40
  6. Step 6: Final answer
    x = 130,427.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.