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Finding the Fourth Proportional to 207,359.90, 286,166.04 and 116,747

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Solution

The fourth proportional to 207,359.90, 286,166.04 and 116,747 is: 161,116.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,359.90 : 286,166.04 = 116,747 : x
  2. Step 2: Convert to fraction form
    207,359.90/286,166.04 = 116,747/x
  3. Step 3: Cross multiply
    207,359.90x = 286,166.04 × 116,747
  4. Step 4: Simplify right side
    207,359.90x = 33,409,026,671.88
  5. Step 5: Solve for x
    x = 33,409,026,671.88/207,359.90
  6. Step 6: Final answer
    x = 161,116.14

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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.