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Finding the Fourth Proportional to 170,602.56, 255,597.36 and 100,443.60

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Solution

The fourth proportional to 170,602.56, 255,597.36 and 100,443.60 is: 150,484.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,602.56 : 255,597.36 = 100,443.60 : x
  2. Step 2: Convert to fraction form
    170,602.56/255,597.36 = 100,443.60/x
  3. Step 3: Cross multiply
    170,602.56x = 255,597.36 × 100,443.60
  4. Step 4: Simplify right side
    170,602.56x = 25,673,118,988.90
  5. Step 5: Solve for x
    x = 25,673,118,988.90/170,602.56
  6. Step 6: Final answer
    x = 150,484.96

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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.