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Finding the Fourth Proportional to 130,807.50, 196,213.10 and 37,313.25

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Solution

The fourth proportional to 130,807.50, 196,213.10 and 37,313.25 is: 55,970.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,807.50 : 196,213.10 = 37,313.25 : x
  2. Step 2: Convert to fraction form
    130,807.50/196,213.10 = 37,313.25/x
  3. Step 3: Cross multiply
    130,807.50x = 196,213.10 × 37,313.25
  4. Step 4: Simplify right side
    130,807.50x = 7,321,348,267.01
  5. Step 5: Solve for x
    x = 7,321,348,267.01/130,807.50
  6. Step 6: Final answer
    x = 55,970.40

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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.