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Finding the Fourth Proportional to 143,339.76, 214,926.58 and 48,538.31

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Solution

The fourth proportional to 143,339.76, 214,926.58 and 48,538.31 is: 72,779.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,339.76 : 214,926.58 = 48,538.31 : x
  2. Step 2: Convert to fraction form
    143,339.76/214,926.58 = 48,538.31/x
  3. Step 3: Cross multiply
    143,339.76x = 214,926.58 × 48,538.31
  4. Step 4: Simplify right side
    143,339.76x = 10,432,171,953.32
  5. Step 5: Solve for x
    x = 10,432,171,953.32/143,339.76
  6. Step 6: Final answer
    x = 72,779.33

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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.