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Finding the Fourth Proportional to 178,696.40, 268,044.60 and 47,368.40

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Solution

The fourth proportional to 178,696.40, 268,044.60 and 47,368.40 is: 71,052.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,696.40 : 268,044.60 = 47,368.40 : x
  2. Step 2: Convert to fraction form
    178,696.40/268,044.60 = 47,368.40/x
  3. Step 3: Cross multiply
    178,696.40x = 268,044.60 × 47,368.40
  4. Step 4: Simplify right side
    178,696.40x = 12,696,843,830.64
  5. Step 5: Solve for x
    x = 12,696,843,830.64/178,696.40
  6. Step 6: Final answer
    x = 71,052.60

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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.