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Finding the Fourth Proportional to 159,357.49, 238,980.53 and 47,007.88

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Solution

The fourth proportional to 159,357.49, 238,980.53 and 47,007.88 is: 70,495.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,357.49 : 238,980.53 = 47,007.88 : x
  2. Step 2: Convert to fraction form
    159,357.49/238,980.53 = 47,007.88/x
  3. Step 3: Cross multiply
    159,357.49x = 238,980.53 × 47,007.88
  4. Step 4: Simplify right side
    159,357.49x = 11,233,968,076.58
  5. Step 5: Solve for x
    x = 11,233,968,076.58/159,357.49
  6. Step 6: Final answer
    x = 70,495.39

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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.