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Finding the Fourth Proportional to 130,575.78, 195,680.52 and 55,594.44

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Solution

The fourth proportional to 130,575.78, 195,680.52 and 55,594.44 is: 83,313.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,575.78 : 195,680.52 = 55,594.44 : x
  2. Step 2: Convert to fraction form
    130,575.78/195,680.52 = 55,594.44/x
  3. Step 3: Cross multiply
    130,575.78x = 195,680.52 × 55,594.44
  4. Step 4: Simplify right side
    130,575.78x = 10,878,748,928.31
  5. Step 5: Solve for x
    x = 10,878,748,928.31/130,575.78
  6. Step 6: Final answer
    x = 83,313.68

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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.