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Finding the Fourth Proportional to 153,537, 230,273.73 and 41,190.59

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Solution

The fourth proportional to 153,537, 230,273.73 and 41,190.59 is: 61,777.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,537 : 230,273.73 = 41,190.59 : x
  2. Step 2: Convert to fraction form
    153,537/230,273.73 = 41,190.59/x
  3. Step 3: Cross multiply
    153,537x = 230,273.73 × 41,190.59
  4. Step 4: Simplify right side
    153,537x = 9,485,109,648.83
  5. Step 5: Solve for x
    x = 9,485,109,648.83/153,537
  6. Step 6: Final answer
    x = 61,777.35

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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.