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Finding the Fourth Proportional to 184,899.98, 277,322.64 and 51,771.80

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Solution

The fourth proportional to 184,899.98, 277,322.64 and 51,771.80 is: 77,650.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,899.98 : 277,322.64 = 51,771.80 : x
  2. Step 2: Convert to fraction form
    184,899.98/277,322.64 = 51,771.80/x
  3. Step 3: Cross multiply
    184,899.98x = 277,322.64 × 51,771.80
  4. Step 4: Simplify right side
    184,899.98x = 14,357,492,253.55
  5. Step 5: Solve for x
    x = 14,357,492,253.55/184,899.98
  6. Step 6: Final answer
    x = 77,650.05

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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.