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Finding the Fourth Proportional to 130,519.98, 195,580.65 and 97,078.32

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Solution

The fourth proportional to 130,519.98, 195,580.65 and 97,078.32 is: 145,469.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,519.98 : 195,580.65 = 97,078.32 : x
  2. Step 2: Convert to fraction form
    130,519.98/195,580.65 = 97,078.32/x
  3. Step 3: Cross multiply
    130,519.98x = 195,580.65 × 97,078.32
  4. Step 4: Simplify right side
    130,519.98x = 18,986,640,926.51
  5. Step 5: Solve for x
    x = 18,986,640,926.51/130,519.98
  6. Step 6: Final answer
    x = 145,469.23

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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.