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Finding the Fourth Proportional to 185,182.55, 277,796.07 and 65,214.70

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Solution

The fourth proportional to 185,182.55, 277,796.07 and 65,214.70 is: 97,829.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,182.55 : 277,796.07 = 65,214.70 : x
  2. Step 2: Convert to fraction form
    185,182.55/277,796.07 = 65,214.70/x
  3. Step 3: Cross multiply
    185,182.55x = 277,796.07 × 65,214.70
  4. Step 4: Simplify right side
    185,182.55x = 18,116,387,970.35
  5. Step 5: Solve for x
    x = 18,116,387,970.35/185,182.55
  6. Step 6: Final answer
    x = 97,829.89

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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.