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Finding the Fourth Proportional to 178,815.60, 268,223.40 and 159,116.40

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Solution

The fourth proportional to 178,815.60, 268,223.40 and 159,116.40 is: 238,674.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,815.60 : 268,223.40 = 159,116.40 : x
  2. Step 2: Convert to fraction form
    178,815.60/268,223.40 = 159,116.40/x
  3. Step 3: Cross multiply
    178,815.60x = 268,223.40 × 159,116.40
  4. Step 4: Simplify right side
    178,815.60x = 42,678,741,803.76
  5. Step 5: Solve for x
    x = 42,678,741,803.76/178,815.60
  6. Step 6: Final answer
    x = 238,674.60

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Why These Related Problems?

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