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Finding the Fourth Proportional to 130,756.50, 196,205.63 and 101,232

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Solution

The fourth proportional to 130,756.50, 196,205.63 and 101,232 is: 151,902.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,756.50 : 196,205.63 = 101,232 : x
  2. Step 2: Convert to fraction form
    130,756.50/196,205.63 = 101,232/x
  3. Step 3: Cross multiply
    130,756.50x = 196,205.63 × 101,232
  4. Step 4: Simplify right side
    130,756.50x = 19,862,287,830
  5. Step 5: Solve for x
    x = 19,862,287,830/130,756.50
  6. Step 6: Final answer
    x = 151,902.87

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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.