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Finding the Fourth Proportional to 142,160.64, 213,241.96 and 97,652.48

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Solution

The fourth proportional to 142,160.64, 213,241.96 and 97,652.48 is: 146,479.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,160.64 : 213,241.96 = 97,652.48 : x
  2. Step 2: Convert to fraction form
    142,160.64/213,241.96 = 97,652.48/x
  3. Step 3: Cross multiply
    142,160.64x = 213,241.96 × 97,652.48
  4. Step 4: Simplify right side
    142,160.64x = 20,823,606,234.06
  5. Step 5: Solve for x
    x = 20,823,606,234.06/142,160.64
  6. Step 6: Final answer
    x = 146,479.41

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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.