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Finding the Fourth Proportional to 130,338.98, 195,501.98 and 76,334.01

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Solution

The fourth proportional to 130,338.98, 195,501.98 and 76,334.01 is: 114,497.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,338.98 : 195,501.98 = 76,334.01 : x
  2. Step 2: Convert to fraction form
    130,338.98/195,501.98 = 76,334.01/x
  3. Step 3: Cross multiply
    130,338.98x = 195,501.98 × 76,334.01
  4. Step 4: Simplify right side
    130,338.98x = 14,923,450,096.34
  5. Step 5: Solve for x
    x = 14,923,450,096.34/130,338.98
  6. Step 6: Final answer
    x = 114,497.21

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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.