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Finding the Fourth Proportional to 102,678.80, 153,787.80 and 84,246.80

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Solution

The fourth proportional to 102,678.80, 153,787.80 and 84,246.80 is: 126,181.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,678.80 : 153,787.80 = 84,246.80 : x
  2. Step 2: Convert to fraction form
    102,678.80/153,787.80 = 84,246.80/x
  3. Step 3: Cross multiply
    102,678.80x = 153,787.80 × 84,246.80
  4. Step 4: Simplify right side
    102,678.80x = 12,956,130,029.04
  5. Step 5: Solve for x
    x = 12,956,130,029.04/102,678.80
  6. Step 6: Final answer
    x = 126,181.16

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.