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Finding the Fourth Proportional to 130,207, 194,991.97 and 117,585.28

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Solution

The fourth proportional to 130,207, 194,991.97 and 117,585.28 is: 176,090.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,207 : 194,991.97 = 117,585.28 : x
  2. Step 2: Convert to fraction form
    130,207/194,991.97 = 117,585.28/x
  3. Step 3: Cross multiply
    130,207x = 194,991.97 × 117,585.28
  4. Step 4: Simplify right side
    130,207x = 22,928,185,390.20
  5. Step 5: Solve for x
    x = 22,928,185,390.20/130,207
  6. Step 6: Final answer
    x = 176,090.27

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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.