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Finding the Fourth Proportional to 184,969.76, 277,448.16 and 51,848.96

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Solution

The fourth proportional to 184,969.76, 277,448.16 and 51,848.96 is: 77,771.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,969.76 : 277,448.16 = 51,848.96 : x
  2. Step 2: Convert to fraction form
    184,969.76/277,448.16 = 51,848.96/x
  3. Step 3: Cross multiply
    184,969.76x = 277,448.16 × 51,848.96
  4. Step 4: Simplify right side
    184,969.76x = 14,385,398,549.91
  5. Step 5: Solve for x
    x = 14,385,398,549.91/184,969.76
  6. Step 6: Final answer
    x = 77,771.62

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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.