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Finding the Fourth Proportional to 97,470, 146,212.29 and 55,333.80

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Solution

The fourth proportional to 97,470, 146,212.29 and 55,333.80 is: 83,004.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,470 : 146,212.29 = 55,333.80 : x
  2. Step 2: Convert to fraction form
    97,470/146,212.29 = 55,333.80/x
  3. Step 3: Cross multiply
    97,470x = 146,212.29 × 55,333.80
  4. Step 4: Simplify right side
    97,470x = 8,090,481,612.40
  5. Step 5: Solve for x
    x = 8,090,481,612.40/97,470
  6. Step 6: Final answer
    x = 83,004.84

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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.