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Finding the Fourth Proportional to 127,233.70, 190,945.32 and 48,501.70

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Solution

The fourth proportional to 127,233.70, 190,945.32 and 48,501.70 is: 72,788.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,233.70 : 190,945.32 = 48,501.70 : x
  2. Step 2: Convert to fraction form
    127,233.70/190,945.32 = 48,501.70/x
  3. Step 3: Cross multiply
    127,233.70x = 190,945.32 × 48,501.70
  4. Step 4: Simplify right side
    127,233.70x = 9,261,172,627.04
  5. Step 5: Solve for x
    x = 9,261,172,627.04/127,233.70
  6. Step 6: Final answer
    x = 72,788.68

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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.