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Finding the Fourth Proportional to 178,226.40, 245,944.96 and 106,564.08

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Solution

The fourth proportional to 178,226.40, 245,944.96 and 106,564.08 is: 147,053.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,226.40 : 245,944.96 = 106,564.08 : x
  2. Step 2: Convert to fraction form
    178,226.40/245,944.96 = 106,564.08/x
  3. Step 3: Cross multiply
    178,226.40x = 245,944.96 × 106,564.08
  4. Step 4: Simplify right side
    178,226.40x = 26,208,898,393.04
  5. Step 5: Solve for x
    x = 26,208,898,393.04/178,226.40
  6. Step 6: Final answer
    x = 147,053.96

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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.