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Finding the Fourth Proportional to 123,225.60, 184,838.40 and 48,349.20

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Solution

The fourth proportional to 123,225.60, 184,838.40 and 48,349.20 is: 72,523.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,225.60 : 184,838.40 = 48,349.20 : x
  2. Step 2: Convert to fraction form
    123,225.60/184,838.40 = 48,349.20/x
  3. Step 3: Cross multiply
    123,225.60x = 184,838.40 × 48,349.20
  4. Step 4: Simplify right side
    123,225.60x = 8,936,788,769.28
  5. Step 5: Solve for x
    x = 8,936,788,769.28/123,225.60
  6. Step 6: Final answer
    x = 72,523.80

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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.