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Finding the Fourth Proportional to 149,854.60, 225,041.10 and 97,496.20

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Solution

The fourth proportional to 149,854.60, 225,041.10 and 97,496.20 is: 146,412.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,854.60 : 225,041.10 = 97,496.20 : x
  2. Step 2: Convert to fraction form
    149,854.60/225,041.10 = 97,496.20/x
  3. Step 3: Cross multiply
    149,854.60x = 225,041.10 × 97,496.20
  4. Step 4: Simplify right side
    149,854.60x = 21,940,652,093.82
  5. Step 5: Solve for x
    x = 21,940,652,093.82/149,854.60
  6. Step 6: Final answer
    x = 146,412.94

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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.