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Finding the Fourth Proportional to 178,253.12, 245,965.96 and 106,607

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Solution

The fourth proportional to 178,253.12, 245,965.96 and 106,607 is: 147,103.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,253.12 : 245,965.96 = 106,607 : x
  2. Step 2: Convert to fraction form
    178,253.12/245,965.96 = 106,607/x
  3. Step 3: Cross multiply
    178,253.12x = 245,965.96 × 106,607
  4. Step 4: Simplify right side
    178,253.12x = 26,221,693,097.72
  5. Step 5: Solve for x
    x = 26,221,693,097.72/178,253.12
  6. Step 6: Final answer
    x = 147,103.70

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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.