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Finding the Fourth Proportional to 130,206, 194,990.48 and 117,584.28

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Solution

The fourth proportional to 130,206, 194,990.48 and 117,584.28 is: 176,088.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,206 : 194,990.48 = 117,584.28 : x
  2. Step 2: Convert to fraction form
    130,206/194,990.48 = 117,584.28/x
  3. Step 3: Cross multiply
    130,206x = 194,990.48 × 117,584.28
  4. Step 4: Simplify right side
    130,206x = 22,927,814,609.73
  5. Step 5: Solve for x
    x = 22,927,814,609.73/130,206
  6. Step 6: Final answer
    x = 176,088.77

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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.