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Finding the Fourth Proportional to 152,023.46, 209,790.95 and 84,042.18

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Solution

The fourth proportional to 152,023.46, 209,790.95 and 84,042.18 is: 115,977.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,023.46 : 209,790.95 = 84,042.18 : x
  2. Step 2: Convert to fraction form
    152,023.46/209,790.95 = 84,042.18/x
  3. Step 3: Cross multiply
    152,023.46x = 209,790.95 × 84,042.18
  4. Step 4: Simplify right side
    152,023.46x = 17,631,288,362.06
  5. Step 5: Solve for x
    x = 17,631,288,362.06/152,023.46
  6. Step 6: Final answer
    x = 115,977.42

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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.