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Finding the Fourth Proportional to 130,796, 196,195.85 and 37,301.75

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Solution

The fourth proportional to 130,796, 196,195.85 and 37,301.75 is: 55,953.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,796 : 196,195.85 = 37,301.75 : x
  2. Step 2: Convert to fraction form
    130,796/196,195.85 = 37,301.75/x
  3. Step 3: Cross multiply
    130,796x = 196,195.85 × 37,301.75
  4. Step 4: Simplify right side
    130,796x = 7,318,448,547.74
  5. Step 5: Solve for x
    x = 7,318,448,547.74/130,796
  6. Step 6: Final answer
    x = 55,953.15

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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.