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Finding the Fourth Proportional to 130,788, 196,183.82 and 37,293.75

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Solution

The fourth proportional to 130,788, 196,183.82 and 37,293.75 is: 55,941.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,788 : 196,183.82 = 37,293.75 : x
  2. Step 2: Convert to fraction form
    130,788/196,183.82 = 37,293.75/x
  3. Step 3: Cross multiply
    130,788x = 196,183.82 × 37,293.75
  4. Step 4: Simplify right side
    130,788x = 7,316,430,430.36
  5. Step 5: Solve for x
    x = 7,316,430,430.36/130,788
  6. Step 6: Final answer
    x = 55,941.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.