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Finding the Fourth Proportional to 149,174.64, 223,761.96 and 38,358

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Solution

The fourth proportional to 149,174.64, 223,761.96 and 38,358 is: 57,537.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,174.64 : 223,761.96 = 38,358 : x
  2. Step 2: Convert to fraction form
    149,174.64/223,761.96 = 38,358/x
  3. Step 3: Cross multiply
    149,174.64x = 223,761.96 × 38,358
  4. Step 4: Simplify right side
    149,174.64x = 8,583,061,261.68
  5. Step 5: Solve for x
    x = 8,583,061,261.68/149,174.64
  6. Step 6: Final answer
    x = 57,537.00

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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.