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Finding the Fourth Proportional to 197,564.46, 296,047.34 and 130,765.28

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Solution

The fourth proportional to 197,564.46, 296,047.34 and 130,765.28 is: 195,949.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,564.46 : 296,047.34 = 130,765.28 : x
  2. Step 2: Convert to fraction form
    197,564.46/296,047.34 = 130,765.28/x
  3. Step 3: Cross multiply
    197,564.46x = 296,047.34 × 130,765.28
  4. Step 4: Simplify right side
    197,564.46x = 38,712,711,828.12
  5. Step 5: Solve for x
    x = 38,712,711,828.12/197,564.46
  6. Step 6: Final answer
    x = 195,949.78

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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.