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Finding the Fourth Proportional to 130,448.62, 195,738.59 and 97,235.38

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Solution

The fourth proportional to 130,448.62, 195,738.59 and 97,235.38 is: 145,902.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,448.62 : 195,738.59 = 97,235.38 : x
  2. Step 2: Convert to fraction form
    130,448.62/195,738.59 = 97,235.38/x
  3. Step 3: Cross multiply
    130,448.62x = 195,738.59 × 97,235.38
  4. Step 4: Simplify right side
    130,448.62x = 19,032,716,179.31
  5. Step 5: Solve for x
    x = 19,032,716,179.31/130,448.62
  6. Step 6: Final answer
    x = 145,902.01

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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.