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Finding the Fourth Proportional to 159,164.60, 238,696.16 and 52,528.68

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Solution

The fourth proportional to 159,164.60, 238,696.16 and 52,528.68 is: 78,776.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,164.60 : 238,696.16 = 52,528.68 : x
  2. Step 2: Convert to fraction form
    159,164.60/238,696.16 = 52,528.68/x
  3. Step 3: Cross multiply
    159,164.60x = 238,696.16 × 52,528.68
  4. Step 4: Simplify right side
    159,164.60x = 12,538,393,943.23
  5. Step 5: Solve for x
    x = 12,538,393,943.23/159,164.60
  6. Step 6: Final answer
    x = 78,776.28

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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.