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Finding the Fourth Proportional to 149,020.20, 223,569.90 and 64,744.20

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Solution

The fourth proportional to 149,020.20, 223,569.90 and 64,744.20 is: 97,133.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,020.20 : 223,569.90 = 64,744.20 : x
  2. Step 2: Convert to fraction form
    149,020.20/223,569.90 = 64,744.20/x
  3. Step 3: Cross multiply
    149,020.20x = 223,569.90 × 64,744.20
  4. Step 4: Simplify right side
    149,020.20x = 14,474,854,319.58
  5. Step 5: Solve for x
    x = 14,474,854,319.58/149,020.20
  6. Step 6: Final answer
    x = 97,133.50

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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.