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Finding the Fourth Proportional to 185,564.70, 278,362.08 and 52,446.06

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Solution

The fourth proportional to 185,564.70, 278,362.08 and 52,446.06 is: 78,673.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,564.70 : 278,362.08 = 52,446.06 : x
  2. Step 2: Convert to fraction form
    185,564.70/278,362.08 = 52,446.06/x
  3. Step 3: Cross multiply
    185,564.70x = 278,362.08 × 52,446.06
  4. Step 4: Simplify right side
    185,564.70x = 14,598,994,349.40
  5. Step 5: Solve for x
    x = 14,598,994,349.40/185,564.70
  6. Step 6: Final answer
    x = 78,673.34

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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.