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Finding the Fourth Proportional to 130,208.40, 195,323.40 and 41,459.40

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Solution

The fourth proportional to 130,208.40, 195,323.40 and 41,459.40 is: 62,192.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,208.40 : 195,323.40 = 41,459.40 : x
  2. Step 2: Convert to fraction form
    130,208.40/195,323.40 = 41,459.40/x
  3. Step 3: Cross multiply
    130,208.40x = 195,323.40 × 41,459.40
  4. Step 4: Simplify right side
    130,208.40x = 8,097,990,969.96
  5. Step 5: Solve for x
    x = 8,097,990,969.96/130,208.40
  6. Step 6: Final answer
    x = 62,192.54

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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.