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Finding the Fourth Proportional to 123,341.20, 184,930.80 and 48,416.20

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Solution

The fourth proportional to 123,341.20, 184,930.80 and 48,416.20 is: 72,592.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,341.20 : 184,930.80 = 48,416.20 : x
  2. Step 2: Convert to fraction form
    123,341.20/184,930.80 = 48,416.20/x
  3. Step 3: Cross multiply
    123,341.20x = 184,930.80 × 48,416.20
  4. Step 4: Simplify right side
    123,341.20x = 8,953,646,598.96
  5. Step 5: Solve for x
    x = 8,953,646,598.96/123,341.20
  6. Step 6: Final answer
    x = 72,592.50

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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.