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Finding the Fourth Proportional to 149,241.40, 223,862.10 and 146,649.40

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Solution

The fourth proportional to 149,241.40, 223,862.10 and 146,649.40 is: 219,974.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,241.40 : 223,862.10 = 146,649.40 : x
  2. Step 2: Convert to fraction form
    149,241.40/223,862.10 = 146,649.40/x
  3. Step 3: Cross multiply
    149,241.40x = 223,862.10 × 146,649.40
  4. Step 4: Simplify right side
    149,241.40x = 32,829,242,647.74
  5. Step 5: Solve for x
    x = 32,829,242,647.74/149,241.40
  6. Step 6: Final answer
    x = 219,974.10

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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.