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Finding the Fourth Proportional to 123,214.26, 184,750.62 and 48,246.64

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Solution

The fourth proportional to 123,214.26, 184,750.62 and 48,246.64 is: 72,342.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,214.26 : 184,750.62 = 48,246.64 : x
  2. Step 2: Convert to fraction form
    123,214.26/184,750.62 = 48,246.64/x
  3. Step 3: Cross multiply
    123,214.26x = 184,750.62 × 48,246.64
  4. Step 4: Simplify right side
    123,214.26x = 8,913,596,281.50
  5. Step 5: Solve for x
    x = 8,913,596,281.50/123,214.26
  6. Step 6: Final answer
    x = 72,342.24

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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.