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Finding the Fourth Proportional to 178,246.12, 245,956.30 and 106,600

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Solution

The fourth proportional to 178,246.12, 245,956.30 and 106,600 is: 147,094.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,246.12 : 245,956.30 = 106,600 : x
  2. Step 2: Convert to fraction form
    178,246.12/245,956.30 = 106,600/x
  3. Step 3: Cross multiply
    178,246.12x = 245,956.30 × 106,600
  4. Step 4: Simplify right side
    178,246.12x = 26,218,941,580
  5. Step 5: Solve for x
    x = 26,218,941,580/178,246.12
  6. Step 6: Final answer
    x = 147,094.04

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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.