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Finding the Fourth Proportional to 185,314.08, 277,968.36 and 58,962

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Solution

The fourth proportional to 185,314.08, 277,968.36 and 58,962 is: 88,442.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,314.08 : 277,968.36 = 58,962 : x
  2. Step 2: Convert to fraction form
    185,314.08/277,968.36 = 58,962/x
  3. Step 3: Cross multiply
    185,314.08x = 277,968.36 × 58,962
  4. Step 4: Simplify right side
    185,314.08x = 16,389,570,442.32
  5. Step 5: Solve for x
    x = 16,389,570,442.32/185,314.08
  6. Step 6: Final answer
    x = 88,442.12

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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.