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Finding the Fourth Proportional to 180,148.31, 270,130.65 and 60,162.08

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Solution

The fourth proportional to 180,148.31, 270,130.65 and 60,162.08 is: 90,212.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,148.31 : 270,130.65 = 60,162.08 : x
  2. Step 2: Convert to fraction form
    180,148.31/270,130.65 = 60,162.08/x
  3. Step 3: Cross multiply
    180,148.31x = 270,130.65 × 60,162.08
  4. Step 4: Simplify right side
    180,148.31x = 16,251,621,775.75
  5. Step 5: Solve for x
    x = 16,251,621,775.75/180,148.31
  6. Step 6: Final answer
    x = 90,212.46

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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.