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Finding the Fourth Proportional to 123,214.70, 184,821.51 and 48,281.90

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Solution

The fourth proportional to 123,214.70, 184,821.51 and 48,281.90 is: 72,422.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,214.70 : 184,821.51 = 48,281.90 : x
  2. Step 2: Convert to fraction form
    123,214.70/184,821.51 = 48,281.90/x
  3. Step 3: Cross multiply
    123,214.70x = 184,821.51 × 48,281.90
  4. Step 4: Simplify right side
    123,214.70x = 8,923,533,663.67
  5. Step 5: Solve for x
    x = 8,923,533,663.67/123,214.70
  6. Step 6: Final answer
    x = 72,422.64

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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.