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Finding the Fourth Proportional to 149,028.64, 223,641.44 and 70,165.42

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Solution

The fourth proportional to 149,028.64, 223,641.44 and 70,165.42 is: 105,294.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,028.64 : 223,641.44 = 70,165.42 : x
  2. Step 2: Convert to fraction form
    149,028.64/223,641.44 = 70,165.42/x
  3. Step 3: Cross multiply
    149,028.64x = 223,641.44 × 70,165.42
  4. Step 4: Simplify right side
    149,028.64x = 15,691,895,567.00
  5. Step 5: Solve for x
    x = 15,691,895,567.00/149,028.64
  6. Step 6: Final answer
    x = 105,294.50

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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.