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Finding the Fourth Proportional to 148,852.80, 205,402.02 and 84,309.14

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Solution

The fourth proportional to 148,852.80, 205,402.02 and 84,309.14 is: 116,338.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,852.80 : 205,402.02 = 84,309.14 : x
  2. Step 2: Convert to fraction form
    148,852.80/205,402.02 = 84,309.14/x
  3. Step 3: Cross multiply
    148,852.80x = 205,402.02 × 84,309.14
  4. Step 4: Simplify right side
    148,852.80x = 17,317,266,633.45
  5. Step 5: Solve for x
    x = 17,317,266,633.45/148,852.80
  6. Step 6: Final answer
    x = 116,338.20

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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.