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Finding the Fourth Proportional to 119,009, 178,506.24 and 48,886.52

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Solution

The fourth proportional to 119,009, 178,506.24 and 48,886.52 is: 73,326.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,009 : 178,506.24 = 48,886.52 : x
  2. Step 2: Convert to fraction form
    119,009/178,506.24 = 48,886.52/x
  3. Step 3: Cross multiply
    119,009x = 178,506.24 × 48,886.52
  4. Step 4: Simplify right side
    119,009x = 8,726,548,871.88
  5. Step 5: Solve for x
    x = 8,726,548,871.88/119,009
  6. Step 6: Final answer
    x = 73,326.80

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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.