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Finding the Fourth Proportional to 130,697.16, 196,048.17 and 37,205.34

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Solution

The fourth proportional to 130,697.16, 196,048.17 and 37,205.34 is: 55,808.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,697.16 : 196,048.17 = 37,205.34 : x
  2. Step 2: Convert to fraction form
    130,697.16/196,048.17 = 37,205.34/x
  3. Step 3: Cross multiply
    130,697.16x = 196,048.17 × 37,205.34
  4. Step 4: Simplify right side
    130,697.16x = 7,294,038,086.05
  5. Step 5: Solve for x
    x = 7,294,038,086.05/130,697.16
  6. Step 6: Final answer
    x = 55,808.70

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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.